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(Ebook PDF) Foundations Of Quantum Chromodynamics An Introduction to Perturbative Methods in Gauge Theories 3rd Edition by T Muta ISBN 9789813101333 9813101334 full chapters

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Foundations Of Quantum Chromodynamics An Introduction to Perturbative Methods in Gauge Theories 3rd Edition T. Muta Digital Instant Download

Author(s): T. Muta
ISBN(s): 9789812793546, 9812793542
Edition: 3
File Details: PDF, 20.49 MB
Year: 2009
Language: english
SKU: EB-2444464 Category: Tag:

 (Ebook PDF) Foundations Of Quantum Chromodynamics An Introduction to Perturbative Methods in Gauge Theories 3rd Edition by T Muta-Ebook PDF Instant Download/Delivery:9789813101333, 9813101334

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ISBN 10:9813101334

ISBN 13:9789813101333

Author: T. Muta

This volume develops the techniques of perturbative QCD in great pedagogical detail starting with field theory. Aside from extensive treatments of the renormalization group technique, the operator product expansion formalism and their applications to short-distance reactions, this book provides a comprehensive introduction to gauge theories. Examples and exercises are provided to amplify the discussions on important topics. This is an ideal textbook on the subject of quantum chromodynamics and is essential for researchers and graduate students in high energy physics, nuclear physics and mathematical physics.
 

Table of Contents:

  • Chapter 1. Introduction
  • 1.1. General Survey
  • 1.2. Quarks and Color
  • 1.2.1. Low-lying baryon states
  • 1.2.2. Quark confinement
  • 1.2.3. Indirect experimental evidences
  • 1.3. Need for Asymptotic Freedom
  • 1.4. Notation and Conventions
  • Chapter 2. Elements of Quantum Chromodynamics
  • 2.1. Gauge Principle
  • 2.1.1. Electrodynamics
  • 2.1.2. Yang-Mills theories
  • 2.2. Quantization
  • 2.2.1. Trouble with the canonical quantization
  • 2.2.2. Quantization in the Feynman functional-integral formalism
  • 2.2.3. Quantization of gauge fields
  • 2.2.4. Fermions
  • 2.3. Feynman Rules
  • 2.3.1. S matrix and Green functions
  • 2.3.2. 3 theory
  • 2.3.3. Quantum chromodynamics
  • 2.3.4. Simple example in e+e- annihilation
  • 2.3.5. Covariant canonical quantization of gauge fields
  • 2.4. Regularization
  • 2.4.1. Review of regularization schemes
  • 2.4.2. Dimensional regularization
  • 2.4.3. Preliminary remarks on renormalization schemes
  • 2.5. Renormalization
  • 2.5.1. Power counting
  • 2.5.2. Renormalizable interactions
  • 2.5.3. Renormalization in cf>3 theory
  • 2.5.4. BPHZ method in cf>3 theory
  • 2.5.5. Quantum chromodynamics
  • 2.5.6. Generalized Ward-Takahashi identities
  • Chapter 3. Renormalization Group Method
  • 3. 1. Renormalization Group
  • 3.1.1. Finite renormalization
  • 3.1.2. Group of finite renormalizations
  • 3.2. Renormalization group equations
  • 3.2.1. Renormalization group equation in the MS scheme
  • 3.2.2. The renormalization group equation in other schemes
  • 3.3. Solution of the Renormalization Group Equations
  • 3.3.1. Solution of the ‘t Hooft-Weinberg equation
  • 3.3.2. Behavior of the solution
  • 3.4. Asymptotic Freedom
  • 3.4.1. Renormalization group functions in QCD
  • 3.4.2. Asymptotic freedom in QCD
  • 3.4.3. Renormalization group functions in other theories
  • 3.5. Anomalous Dimensions
  • Chapter 4. Operator Product Expansion
  • 4.1. Operator Products
  • 4.1.1 . Composite operators
  • 4.1 .2. Product of currents in deep inelastic scatterings
  • 4.1.3. Product of currents in e+e- annihilations
  • 4.2. Operator-product Expansion in Perturbation Theory
  • 4.2.1. Free field theory
  • 4.2.2. The parton model
  • 4.2.3. Renormalization of composite operators
  • 4.2.4. Proof of the operator product expansion
  • 4.2.5. Light-cone expansion
  • 4.3 . Coefficient Functions
  • 4.3.1. Singularity in coefficient functions
  • 4.3.2. Renormalization group equations
  • Chapter 5. Physical Applications
  • 5.1. Total Cross Section for e+e- Annihilations
  • 5.1.1. Renormalization group equation
  • 5.1.2. Order-g2 correction
  • 5.1.3. Higher-order corrections
  • 5.2. Deep Inelastic Lepton-hadron Scatterings
  • 5.2.1. Moment sum rules for structure functions
  • 5.2.2. Renormalization-group-improved perturbation
  • 5.2.3. Flavor structure of composite operators
  • 5.2.4. The nonsinglet part
  • 5.2.5. The singlet part
  • 5.2.6. Experimental tests
  • 5.3. Renormalization-scheme Dependence
  • 5.3.1. Renormalization-scheme dependence of perturbative predictions
  • 5.3.2. function and anomalous dimensions
  • 5.3.3. e+e- annihilations and deep inelastic scatterings
  • 5.4. Jets
  • 5.4.1. qq jets in e+e- annihilations
  • 5.4.2. Higher order effects
  • 5.4.3. Experimental observation
  • 5.5. Factorization and the Drell-Yan Process
  • Chapter 6. Infrared Divergences
  • 6.1. One-loop Example
  • 6.1.1. Origin of infrared divergences
  • 6.1.2. Regularization
  • 6.1.3. Cancellation of infrared divergences
  • 6.2. Proof of the Soft-photon Cancellation in QED
  • 6.2.1. Soft-photon emission
  • 6.2.2. Virtual photons
  • 6.2.3. Cancellation
  • 6.3. General Arguments for Infrared Cancellations
  • 6.3.1. Infrared divergence in QCD
  • 6.3.2. The Kinoshita-Poggio-Quinn theorem
  • 6.3.3. The Kinoshita-Lee-Nauenberg theorem
  • Appendix A One-loop Contribution to Superficially Divergent Feynman Amplitudes in QCD
  • Appendix B Useful Formulas involving the SU(N) Generators
  • AppendixC Renormalization Constants in QCD
  • AppendixD Feynman Rules

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