Qft solutions pdf. 1 Identical particles 206 12.

Qft solutions pdf One that is in-between physicists' QFT and mathematicians' QFT. In these notes, I will try to understand the big picture and the physics behind the ideas, so many of these questions will be elementary. Next, we need! Li,Kj 1 2 ϵikl Jkl,J0j i 2 ϵikl −gljJk0 +gkjJl0 i Spinor solutions and CPT 12. This result provides an axiomatic approach to Maxwell's equations in which charge conservation is emphasized as the fundamental axiom underlying these equations. This part of my site started out mainly a motivational tool to get myself to finish more problems from the QFT text by Peskin and Schroder. The K commutation relations are! Ki,Kj = KiKj −KjKi = J0iJ0j −J0jJ0i = i # gi0J0j −g00Jij −gijJ00 +g0jJi0 This is simplified using properties of the metric gi0 =0, g00 = −1, gij = −1 and the generators J00 =0 Ki,Kj = −iJij = −iϵijkLk. Blundell. Part III: Renormalization. Please send any comments or corrections to Therefore negative energy solutions are allowed. The document discusses several problems related to quantum field theory and the standard model. 1. Cambridge University Press. Beisert 1. The aim of this lecture course is to be able to formulate the Standard Model of Particle Physics and perform calculations in it. 5. It is often useful to rewrite spinor contractions in other forms to simplify formulas. 2, Reid derives the Dirac equation for the adjoint spinor. ISBN-13 978-0-527-86449-7 hardback Contents Part I Spin Zero 3 1. -d. For the Contents ix 11. Immortal Classics. - Quantum Field Theory and the Standard Model-Cambridge University Press (2013). 3)hasavery large symmetry group, acting on the vector T his page lists corrections to the third or fourth printing (reads "3rd printing 2015" or "4th printing 2015" on imprint page) Important corrections (Errors in derivations or results). QFT PS4 Solutions: Free Quantum Field Theory (22/10/18) 3 The quick and dirty way here is to remember that these integrals here are part of an operator expression coming from In this note I provide solutions to all problems and nal projects in the book An Intro- duction to Quantum Field Theory by M. 📈 43,206,948 books, 98,551,629 papers — preserved forever. 13 ~ ~ Swapping the sources is the same thing as swapping the ends of the propogator. A book dealing efficiently with QFT in the path integral approach. 15. • The Lagrangian (6. 3M) UMD Department of Physics - UMD Physics Class Notes for Quantum Field Theory: Section I Introduction to 2nd Quantization, Lagrangian and Equations of Motion, Conservation Laws, the Klein Gordon eld, the Dirac eld, Spin-Statistics connection, Feynman Propagators, Weinberg QFT Vol I Solutions. 2nd ed. 20, Eq. In the center of mass p T = 0 and E cm= 2E proton. From its beginnings in elementary particle physics it has found applications in many other branches of science, in particular condensed matter physics but also as far afleld as biology and economics. ² The identity matrix I has zeros o® the leading diagonal, and 1 for each entry on the Literature This is a writeup of my Master programme course on Quantum Field Theory I (Chapters 1-6) and Quantum Field Theory II. In a QFT Problems & Solutions A. (5. (2. Note that P L= 1 5 2 project out the left-handed spinor from a Dirac fermion. 4 Special relativity 3 0. , Feynman diagrams). ] E. Minor corrections (Unimportant errors in equations). 3, Reid Quantum Field Theory for the Gifted Amateur - Selected Solutions Andrew Valentini July 2024 - Present 1 Chapter 1: Lagrangians Exercise (1. It looks like we have only 3 degrees of freedom in A µ rather than 4. , and G. Please use at your own risk. 5 Coulomb and Newton: Repulsion and Attraction 32 I. Equations delimited by hyphens (-) refer to equations in this PDF, e. 6. 于是希望先在这里建立一个答疑帖，恭迎各位大神不吝赐教，也欢迎qft小白来留下你认为比较困难的习题~ 最后整理成一份答案那是再好不过了！ (Quantum Field Theory and the Standard Model) Schwartz, M. Peskin for kindly permitting me to publish this note. Dylan J. I make no guarantee that the solutions are mistake free. equation still admits positive as well as negative-energy plane-wave solutions, but if we can for some reason neglect the contribution of negative-energy solutions we can solve the equation for the Hydrogen atom, finding a spectrum in very good agreement with the experimental measurements. n £ n. Quantum Field Theory, QFT. 1 An Example: The Klein-Gordon Equation 8 Solution to Problems in Quantum Field Theory by Franz Mandl & Graham Shaw Sanha Cheong May 1, 2020 sanha@stanford. Introduction --3. George August 21, 2012 Srednicki 9. 2 Spin-statistics from path dependence 208 12. We shall cover the following topics: • path integral • non-abelian This collection of problems in Quantum Field Theory, accompanied by their complete solutions, aims to bridge the gap between learning the foundational principles and applying them practically. 6 Inverse Square Law and My textbook on QFT, published by Cambridge University Press, is now available at amazon (check out the customer reviews) and elsewhere. Srednicki’s solution neglects the integral. Parity Interlacing Property --3. Sign in. The renormalization schwartz - Free download as PDF File (. Miscellaneous notes for weekly seminars at Tsinghua 2010-2013. Temples Quantum Field Theory I : Solution Set Four 3 Schwartz 11. edu Stanford University 1 Photons and the Electromagnetic Dylan J. 1 Units and Scales 4 1. ² A diagonal matrix has zeros everywhere except the leading diagonal. D. 2007. 7 a) pk= lq_k: b) H= 1 2l X1 k=1 p2 k+ l 2!2 kq 2 k : c) [ak;ay m] = km; [ak;am] = [a y k;a y m] = 0: d) H= X1 k=1 h! k 2 (aka Contents 0. (2-1-2). Peskin and Schroeder: Intro to QFT (Solutions) Daniel Davies UC Santa Cruz Abstract This document represents my attempt to learn basic quantum eld theory in the summer of 2017, before having taken the class with Michael Dine in the fall. I will try Jimmy Qin Notes on Weinberg’s QFT Nonrelativistic quantum mechanics has ve or so axioms: Born interpretation of matrix elements, Schrodinger equation, etc. In this course we shall be adopting an approach (the Quantum Field Theory Priv. The solutions were written by Nischal Dwivedi and I am currently self studying QFT using Schwartz's book but I am unable to find any solutions to the exercises. e. description See full PDF download Download PDF. Access-restricted-item true Addeddate 2019-08-14 12:58:34 Associated-names Schroeder, Daniel V Bookplateleaf Solutions to problems in the textbook An Introduction to Quantum Field Theory by Michael E. Classical Field Theory 7 1. The answers involve a lot of mathematical symbols which are either awkward or unavailable in HTML. D. This is very poorly explained in the text, but I think the best solution is to include the QFT and its applications; it can’t be used as a text because it’s not very systematic, and it doesn’t teach you how to calculate anything. This post contains solutions to select problems in Steven Weinberg’s “The Quantum We decided to study Weinberg’s QFT Vol. Effective Quantum Mechanics. Lorentz invariance 6 Key words and phrases. We need a field for the matrices ( Sµ⌫)↵ to act upon. 2 and 2. Symmetries and conservation laws Problems Quantum Field Theory 3. Temples Quantum Field Theory II : Solution Set One and one can see it satisifes the same equation of motion: 0 = @ F : (9) The system of these equations of motion results in the Solution to Problems in Quantum Field Theory by Franz Mandl & Graham Shaw. 4) - Free download as PDF File (. 5 Parity 195. 2 What is a field? 2 0. A modern pedagogical introduction to QFT including the Weinberg-Salam model and other selected topics. me October 23, 2024 1 Microscopic theory of radiation 2 Lorentz invariance and second quantization 2. This document provides solutions to problems from Chapter 2 of Peskin & Schroeder regarding classical electromagnetism and complex scalar fields. The NSC --3. Renormalization Peskin Problems - Free download as PDF File (. Temples Quantum Field Theory II : Solution Set Three and the nal term is e~2˚~ ˚~A~ A~ = Z2 1 Z2 2 Z 3 e2(Z 2Z 3)˚ ˚A A (12) Z2 1 Z 2 e2˚ ˚A A = e2˚ ˚A A + Z2 1 Z 2 1 e2˚ ˚A A : (13) Collecting these results, we have the QED Lagrangian: Non-perturbative QFT R. The V is a periodic potential so must have minima and maxima (unless it is constant in which case the following argument still QFT Example Sheet 1 Solutions. txt) or read online for free. I write notes, review papers, and code and make calculations for physics, math, and engineering to help with education and research. Contents ix 11. Solutions to select problems. bookmark Save to Library share Share. In a collision or decay the total energy E T = P i E i and total momentum p T = P i p i are always conserved. The identities with P L play an important role in the theory of weak interactions, 中国科学技术大学 Schwartz - QFT and the Standard Model oT Chin uY Problem 2. The solutions were worked out by Zhong-Zhi Xianyu during their PhD study. Introduction 1 0. 6 Time reversal 198 Problems 201 12 Spin and statistics 205 12. Classical particle in an electromagnetic eld Consider the classical Lagrangian density of a particle of mass mand charge q, moving Peskin & Schroeder QFT Problems oT Chin uY romF the form of Lit is obvious that there is a U(1) (or O(2), if we write the Lagrangian in terms of a two-component vector with the real and imaginary parts as components) symmetry as terms involving ˚always come in form of products The late Sidney Coleman taught the quantum field theory course at Harvard for many years, influencing a generation of physicists in the way they view and teach QFT. 1 Who Needs It? 3 I. 1d Quantum Gravity as the worldline approach to QFT. The course focussed on the free relativistic quantum fields, their interactions in the perturbative scattering framework, standard computations of QED processes, radiative corrections at 1 . Attempts at relativistic quantum mechanics 3 Problems 3 2. Unstable Systems and Control Solutions --3. my solutions to some of the interesting problems. We will take the second route. But the laws of quantum mechanics make it clear that once interactions are included, there will be tran- 所以这篇文章给各位想入手量子场论课程的童鞋系统的介绍各本书的特色(pdf可在zlibrary上免费下载) What is the QFT? Quantum Field Theory (QFT) is the mathematical and conceptual framework for contemporary elementary particle physics. mamamammamam. Non-renormalizable theories 23. If it’s norm is zero we say it is lightlike This is the same as the free solutions to Maxwell’s equations, equation (3. It is also a framework used in other areas of theoretical physics, such as condensed matter physics and statistical mechanics. N. 2 Path Integral Formulation of Quantum Physics 7 I. But this is still one too many. Temples Quantum Field Theory I : Solution Set Four 1 Schwartz 11. Ryder, L. Does anyone know if a solution manual exists for this book or if solutions are available Quantum Field Theory I Problem Set 1 ETH Zurich, 2019 HS Prof. * where F µν is the electromagnetic field tensor and * F µν = (1/2)ε Contents Preface to the First Edition xv Preface to the Second Edition xix Convention, Notation, and Units xxv I Part I: Motivation and Foundation I. Akshay SB. There are a few which are not that type. 65): There should be a factor of volume “V” multiplying the “½” in the Hamiltonian. Vacuum polarization 17. Examples --3. So we present them in two formats: postscript and Homer Reid provides solutions to problems from Chapter 3 of Peskin and Schroeder's quantum field theory textbook. Classically we could restrict to positive energy solutions. 1 What is quantum field theory? 1 0. Finally, Dirac’s This has the solution A 0(~x )= Z d3x0 (r·@A/~ @t)(~x 0) 4⇡|~x ~x 0| (6. Renormalizability 22. The Casimir effect 16. This document provides solutions to exercises in quantum field theory. It includes contents and chapter summaries for topics in quantum field theory including spin zero fields, spin one-half fields, spin one fields, and nonabelian gauge theory. Contents: Introduction; Classical Field Theory;Free Fields; Interacting Fields; The Dirac Equation; Quantizing the Dirac Field; Quantum Electrodynamics. Mandl, F. Schroeder, An Introduction to Quantum Field Theory, Addison- srednicki_qft2. General relativity has one 📚 The largest truly open library in human history. -Doz. 4 Charge conjugation 193 11. This document provides solutions to all problems and final projects in the textbook "An Introduction to Quantum Field Theory" by Peskin and Schroeder. However, 中国科学技术大学 Handout 9 More matrix properties; the transpose Square matrix properties These properties only apply to a square matrix, i. 1 2. 【2】M. g. The properties we expect for an n-dimensional TQFT are as follows (the precise formulation will follow below in Sections 2. E. M. The Cambridge web page for the book includes some nice comments about it from Selected Solutions Quantum Field Theory for the Gifted Amateur ∗ Nischal Dwivedi† Sandeep Joshi‡ ∗ Authors: Tom Lancaster and Stephen J. Last updated on Feb 14, 2023 1 min read Click here for solutions PDF. For the Solution to Problems in Quantum Field Theory by Franz Mandl & Graham Shaw Sanha Cheong May 1, 2020 sanha@stanford. In practice, we only rarely use the explicit representations of the Dirac matrices. The factor of /2w; has been 162985262-Peskin-QFT-Solutions. Download free for solutions; they should help you to check your results. Quantum Field Theory. State and justify the symmetry factors in gure 9. Marino, Instantons and Large N: An introduction to non-perturbative methods in European Journal of Physics, 2009. en Change Language. pdf), Text File (. The problems are also included in the document. V. For a particle with a Contents 0 Overture 1 0. 1 Identical particles 206 12. 2 Causality and commutation relations It is natural to wonder why QFT is necessary, compelling us to go through a number of formal rather than physical considerations, accompanied by the inevitable algebra. p. QFT Example Sheet 1 Solutions. Spin and Statistics 13. ISBN: 9780521338592. If you found any error, please submit an Addeddate 2022-10-04 09:22:16 Identifier quantum-field-theory-and-the-standard-model-by-schwartz-m. ⭐️ We mirror Sci-Hub and LibGen. Temples Quantum Field Theory II : Solution Set Three and the nal term is e~2˚~ ˚~A~ A~ = Z2 1 Z2 2 Z 3 e2(Z 2Z 3)˚ ˚A A (12) Z2 1 Z 2 e2˚ ˚A A = e2˚ ˚A A + Z2 1 Z 2 1 e2˚ ˚A A : (13) Collecting these results, we have the QED Lagrangian: Yet QFT is a well-de ned and consistent calculational framework to predict certain particle observables to extremely high precision. • Howard Georgi’s Lie Algebras and Particle Physics – One major stumbling block for students learning QFT is that an understanding of Lie Groups and their Representation Theory is absolutely essential, and yet this sujbect is almost never taught. 1, Reid calculates various commutation relations involving the Lorentz generators and shows representations of Lorentz transformations. 3 Quantizing spinors 211 11 Spinor solutions and CPT 184 11. 4 Plane wave solution to the Klein-Gordon equation 2. Peskin and D. fjsdkl fdjksl. 2) The free Schr odinger equation can immediately be obtained from the classical energy-momentum relation type, i. 3 From Mattress to Field 17 I. 1 Canonical field quantisation 3. 2 Solving the Dirac equation 188 11. I write notes, review papers, and code and make calculations for physics, math, Problem solutions Rapha¨el GUITTON rguitton@proton. Infrared divergences 21. The solutions posted on this site are for personal use only; do not copy and submit these problems as your own. 3 Who is this book for? 2 0. Understanding Gain and Phase Margins, and Ws Circles --3. These are lecture notes of the QFT-I course I gave in an online mode at Chennai Mathematical Institute. ² The leading diagonal is the diagonal line consisting of the entries a11, a22, a33, . This document contains notes and solutions for Mark Srednicki's textbook "Quantum Field Theory". I haven't What is the aim of quantum eld theory (QFT)? In one word, it is the (successful) attempt to describe matter and elds in a symmetric, consistent and quantum mechanical as well as with free solutions (\free\ meaning V(x) = 0) of the form free(x;t) = Cei(px p2 2m t): (1. 3 The energy of the CMB photon is given by E ˇkT CMB= 0:00023Ve If the electron mass goes to zero, the only possible solution becomes E0 = E and = 0 because the photon cannot have zero energy. Guidelines to Design Controllers --3. This document provides solutions to problems from the first 12 chapters of the book "Quantum Field Theory for the Gifted Amateur" by Tom Lancaster and Stephen J. Open navigation menu. Scribd is the world's largest social reading and publishing site. None so far. Many points of view; one is that it is our own fault: QFT is somewhat idealised; it assumes in nitely extended elds (IR) with in nite spatial resolution (UV);2 there is no wonder that the theory produces in nities. In other words the interaction between the photon and the electron will be turned o in this limit. S = 2. 2. Content: Note continued: 3. Fundamental Theorem of Feedback Download Free PDF. Close suggestions Search This book thoroughly covers the fundamentals of the QFT robust control, as well as practical control solutions, for unstable, time-delay, non-minimum phase or distributed parameter systems, plants with large model uncertainty, high-performance specifications, nonlinear components, multi-input multi-output characteristics or asymmetric topologies. Some solutions to problems in quantum field theory that include Peskin & Schroeder 3. -z-lib. Problem set 1; Problem set 2; Problem set 3; Problem set 4 QFT solutions (Including Peskin & Schroeder 3. Close suggestions Search Search. close. pdf. Constituting a quantum field, the coefficients aand the Hermitian adjoint a† are operators that annihilate and create one-particle states (see Appendix A), a†(k)|0>= |k> This book will teach you that there is another way to do QFT. Dr. 4. Below you can find the pdf files of handwritten lecture notes for Coleman's course (transcribed by Brian Hill). Axel Pelster Department of Physics Lecture in Winter Term 2020/2021 Kaiserslautern, February 12, 2021 The solution can be expanded in terms of the complete set of plane waves e±ikx, φ(x) = 1 (2π)3/2 Z d3k 2k0 [a(k)e−ikx + a†(k)eikx] (10) with k0 = q ~k2 +m2. In the following equations from Weinberg are written with periods delimiting the chapter, subsection, and equation number e. Each Chapter begins with a short introduction aimed to define notation. The primary source for this course has been 📚 The largest truly open library in human history. It provides solutions to the problems involving Lorentz transformations, particle energies, scattering of photons off electrons, and properties of coherent states. To minimise the other energy terms we know the ground state has all particles stationary and separated from each other by distance a. I as a group and the following solutions are the result of this effort. Fierz rearrangement formulas (Fierz identities). 1 and 3. 3 Quantizing spinors 211 12. Schwartz, Quantum Field Theory and the Standard Model, Cambridge University Press (2014). edu Stanford University 1 Photons and the Electromagnetic Field The free-radiation field inside a cubic enclosure is given by the state: jci= exp 1 2 jcj2 X1 n=0 cn p n! jni where c = jcjei is any complex number and jniis the state with nphotons with some Homer Reid provides solutions to problems from Chapter 3 of Peskin and Schroeder's quantum field theory textbook. The notes are Zee - Quantum Field Theory in a Nutshell, Second Edition (Instructor Solution Manual, Solutions)-Princeton University Press (2010) - Free download as PDF File (. Green Functions. It is rigorous and precise, but it addresses the problems physicists care about (i. pdf (25. 4 From Field to Particle to Force 26 I. 3. Download Free PDF. Even in relativistic quantum me-chanics, we could try to do the same as long as we have a free wave equation. The correctness is not guaranteed. Press, 2012 M. For classical electromagnetism, Maxwell's equations and the energy-momentum tensor are derived. 2. 2008. We scrape and open-source Z-Lib, DuXiu, and more. , they contain the answer within the statement of the problem itself. This Lancaster-Blundell-Quantum-Field-Theory-for-the-Gifted-Amateur-Solutions. Blundell [email protected] ‡ [email protected] † 1 The following is an amateur attempt at solving some of the exercises problems of the book Quantum Field Theory for the Gifted Amateur by Tom Lancaster and Stephen J. pdf) or read online for free. 5 Fourier transforms 6 中国科学技术大学 Solutions for Quantum Field Theory, University of Cambridge. Contents definition of the path integral, and then try to write down solutions to these, or even to classify all solutions. If errors are found please let me know by email. For Problem 3. Chapter 3-11 solutions are in Solutions for Quantum Field Theory. Special thanks to Prof. The tentative goal is to work through the rst 7 chapters of Peskin and Schroeder, as this is what Michael attempts to cover in the rst quarter. Peskin and Daniel V. New York, NY: John problems range from those dealing with QFT formalism itself to problems addressing specic questions of phenomenological relevance, and they span a broad range in difculty, for graduate students taking their rst or second course in QFT. 23) but instead of a, being a function, it is now the creation/annihilation operator for that mode. The first exercise involves finding the normal modes and 2. Schroeder. Rajaraman, Solitons and Instantons, North-Holland, 1982 [One of the best QFT books ever written – focuses on non-perturbative aspects. 3, Reid 4. 3 Majorana spinors 192 11. Chapters 2, 3 and 4 deal with the rela- QFT in One Dimension: PDF File The path integral approach to Quantum Mechanics and its relation to the operator approach. Still, it is better to stick to Quantum fleld theory (QFT) is a subject which has evolved considerably over the years and continues to do so. Mark Srednicki. 8. org Identifier-ark ark:/13960/s200s7bb28g An introduction to quantum field theory-Peskin,Schroeder. Ashok Das - Lectures of Quantum Field Theory. 4 Lorentz invariance After having learned the basic concepts of Quantum Field Theory in QFT I, in particular the theory of Quantum Electrodynamics, we can now go on to complete the foundations of QFT in QFT II. 1 Chirality, helicity and spin 185 11. Cambridge, UK: Cambridge University Press, 1986. Qft-schwartz. 1 Spinors The Sµ⌫ are 4⇥4matrices,becausetheµ are 4⇥4 matrices. Weinberg, Classical Solutions in Quantum Field Theory, Cambridge U. 21). A complete solution to all problems (including 3 final projects) in the book An Introduction To Quantum Field Theory by Michael E. In essence, the book presents the so-called causal approach to QFT, which is the only way to make computations 162985262-Peskin-QFT-Solutions. 5): For a three-dimensional elastic medium, the potential energy is V = T 2 Z d3x(∇ψ)2, and the kinetic energy is T= ρ 2 Z d3x ∂ψ ∂t 2. 1 The Dynamics of Fields 7 1. Selected Solutions Quantum Field Theory for the Gifted Amateur ∗ Nischal Dwivedi† Sandeep Joshi‡ ∗ Authors: Tom Lancas 2,997 462 As the course progresses, I continue to build up QFT, as it was built up historically, as the logical generalization of the quantum theory of creation and 参考书目 【1】M. The first exercise involves finding the normal modes and equations of motion for a classical string described by a Lagrangian. 2 a. 10) So A 0 is not independent: we don’t get to specify A 0 on the initial time slice. The second exercise shows the quantization of the classical March 2003 Notes on Quantum Field Theory Mark Srednicki UCSB Notes for the rst quarter of a QFT course, based mostly on ’3 theory in six dimensions. So far we haven’t given an index name to the rows and columns of these matrices: we’re going to call them ↵, =1,2,3,4. Quantum electrodynamics 14. With your support, we Dylan J. The carefully chosen problems cover QFT PS2 Solutions: Classical Field Theory (10/10/17) 3 The constant again does not e ect dynamics. pdf - Free download as PDF File (. Nyquist Stability Criterion in the Nichols Chart --3. The Renormalization Group: PDF File Wilson's approach to renormalization. Actually I worked the problems out all by myself, I can't guarantee the correctness. ann. The covariant Maxwell equations are derived from the continuity equation for the electric charge. Schroeder [1], which I worked out and typed Lahiri & Pal : Quantum Field Theory Answers to exercises A-2 Ex. Xianyu has provided the solutions as a resource for others Table of Contents. Physical quantities in QFT are derived from matrix elements Mwhich represent probability amplitudes. The level of this Prob-lem Book corresponds to the textbooks of Mandl and Show [15]; Greiner and Reinhardt [11] and Peskin and Schroeder [16]. So, we’ve overcounted by two. Upload. François Gelis is a researcher at the Institut de Physique Théorique of CEA-Saclay, Classical solution of the Euclidean time equation of Solutions to problems in Quantum Field Theory by Franz Mandl and Graham Shaw. Shaw. Path integrals. Perturbation theory is used to Contents 0. Mass renormalization 19 Renormalized perturbation theory 20. Brownian motion and the path integral measure. 3): (i) For each oriented (n−1)-manifold Ewe would like to obtain a Hilbert space HE of states on E. 1 An Example: The Klein-Gordon Equation 8 Home | Department of Physics | UC Santa Barbara Lancaster-Blundell-Quantum-Field-Theory-for-the-Gifted-Amateur-Solutions. The anomalous magnetic moment 18. The first Chapter is devoted to the Lorentz and Poincar´e symmetries. We have received requests to post the answers to these problems on the net. Most calculations can be done Solutions 7: Interacting Quantum Field Theory: ˚4 Matrix Elements vs. pfxzqh kbuzzum xawmg fxa hffbp lpkv boq unex avbo amokcfg odwl kdijwj diwgyz bakbl yhttubr