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An Introduction To Quantum Field Theory / Edition 1
     

An Introduction To Quantum Field Theory / Edition 1

by Michael E. Peskin, Daniel V. Schroeder
 

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ISBN-10: 0201503972

ISBN-13: 9780201503975

Pub. Date: 10/28/1995

Publisher: Avalon Publishing


An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on

Overview


An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.

Product Details

ISBN-13:
9780201503975
Publisher:
Avalon Publishing
Publication date:
10/28/1995
Series:
Frontiers in Physics Series
Edition description:
REV
Pages:
864
Sales rank:
658,055
Product dimensions:
6.38(w) x 9.25(h) x (d)

Related Subjects

Table of Contents

Preface xi
Notations and Conventions xix
Editor's Foreword xxii
Part I: Feynman Diagrams and Quantum Electrodynamics
Invitation: Pair Production in e+e- Annihilation
3(10)
The Klein-Gordon Field
13(22)
The Necessity of the Field Viewpoint
13(2)
Elements of Classical Field Theory
15(4)
The Klein-Gordon Field as Harmonic Oscillators
19(6)
The Klein-Gordon Field in Space-Time
25(10)
Problems
33(2)
The Dirac Field
35(42)
Lorentz Invariance in Wave Equations
35(5)
The Dirace Equation
40(5)
Free-Particle Solutions of the Dirac Equation
45(4)
Dirac Matrices and Dirac Field Bilinears
49(3)
Quantization of the Dirac Field
52(12)
Discrete Symmetries of the Dirac Theory
64(13)
Problems
71(6)
Interacting Fields and Feynman Diagrams
77(54)
Perturbation Theory---Philosophy and Examples
77(5)
Perturbation Expansion of Correlation Functions
82(6)
Wick's Theorem
88(2)
Feynman Diagrams
90(9)
Cross Sections and the S-Matrix
99(9)
Computing S-Matrix Elements from Feynman Diagrams
108(7)
Feynman Rules for Fermions
115(8)
Feynman Rules for Quantum Electrodynamics
123(8)
Problems
126(5)
Elementary Processes of Quantum Electrodynamics
131(44)
e+e-→ μ+μ-: Introduction
131(10)
e+e- → μ+μ-: Helicity Structure
141(5)
e+e- → μ+μ-: Nonrelativistic Limit
146(7)
Crossing Symmetry
153(5)
Compton Scattering
158(17)
Problems
169(6)
Radiative Corections: Introduction
175(36)
Soft Bremsstrahlung
176(8)
The Electron Vertex Function: Formal Structure
184(5)
The Electron Vertex Function: Evaluation
189(10)
The Electron Vertex Function: Infrared Divergence
199(3)
Summation and Interpretation of Infrared Divergences
202(9)
Problems
208(3)
Radiative Corrections: Some Formal Developments
211(54)
Field-Strength Renormalization
211(11)
The LSZ Reduction Formula
222(8)
The Optical Theorem
230(8)
The Ward-Takahashi Identity
238(6)
Renormalization of the Electric Charge
244(21)
Problems
257(2)
Final Project: Radiation of Gluon Jets
259(6)
Part II: Renormalization
Invitation: Ultraviolet Cutoffs and Critical Fluctuations
265(10)
Functional Methods
275(40)
Path Integrals in Quantum Mechanics
275(7)
Functional Quantization of Scalar Fields
282(10)
Quantum Field Theory and Statistical Mechanics
292(2)
Quantization of the Electromagnetic Field
294(4)
Functional Quantization of Spinor Fields
298(8)
Symmetries in the Functional Formalism
306(9)
Problems
312(3)
Systematics of Renormalization
315(32)
Counting of Ultraviolet Divergences
315(8)
Renormalized Perturbation Theory
323(7)
Renormalization of Quantum Electrodynamics
330(5)
Renormalization Beyond the Leading Order
335(3)
A Two-Loop Example
338(9)
Problems
344(3)
Renormalization and Symmetry
347(46)
Spontaneous Symmetry Breaking
348(4)
Renormalization and Symmetry: An Explicit Example
352(12)
The Effective Action
364(6)
Computation of the Effective Action
370(9)
The Effective Action as a Generating Functional
379(4)
Renormalization and Symmetry: General Analysis
383(10)
Problems
389(4)
The Renormalization Group
393(46)
Wilson's Approach to Renormalization Theory
394(12)
The Callan-Symanzik Equation
406(12)
Evolution of Coupling Constants
418(10)
Renormalization of Local Operators
428(4)
Evolution of Mass Parameters
432(7)
Problems
438(1)
Critical Exponents and Scalar Field Theory
439(34)
Theory of Critical Exponents
440(11)
Critical Behavior in Four Dimensions
451(3)
The Nonlinear Sigma Model
454(19)
Problems
466(3)
Final Project: The Coleman-Weinberg Potential
469(4)
Part III: Non-Abelian Gauge Theories
Invitation: The Parton Model of Hadron Structure
473(8)
Non-Abelian Gauge Invariance
481(24)
The Geometry of Gauge Invariance
482(4)
The Yang-Mills Lagrangian
486(5)
The Gauge-Invariant Wilson Loop
491(4)
Basic Facts About Lie Algebras
495(10)
Problems
502(3)
Quantization of Non-Abelian Gauge Theories
505(40)
Interactions of Non-Abelian Gauge Bosons
506(6)
The Faddeev-Popov Lagrangian
512(3)
Ghosts and Unitarity
515(2)
BRST Symmetry
517(4)
One-Loop Divergences of Non-Abelian Gauge Theory
521(12)
Asymptotic Freedom: The Background Field Method
533(8)
Asymptotic Freedom: A Qualitative Explanation
541(4)
Problems
544(1)
Quantum Chromodynamics
545(54)
From Quarks to QCD
545(3)
e+e- Annihilation into Hadrons
548(7)
Deep Inelastic Scattering
555(8)
Hard-Scattering Processes in Hadron Collisions
563(11)
Parton Evolution
574(19)
Measurements of αs
593(6)
Problems
595(4)
Operator Products and Effective Vertices
599(52)
Renormalization of the Quark Mass Parameter
599(6)
QCD Renormalization of the Weak Interactions
605(7)
The Operator Product Expansion
612(3)
Operator Analysis of e+e- Annihilation
615(6)
Operator Analysis of Deep Inelastic Scattering
621(30)
Problems
647(4)
Perturbation Theory Anomalies
651(38)
The Axial Current in Two Dimensions
651(8)
The Axial Current in Four Dimensions
659(8)
Goldstone Bosons and Chiral Symmetries in QCD
667(9)
Chiral Anomalies and Chiral Gauge Theories
676(6)
Anomalous Breaking of Scale Invariance
682(7)
Problems
686(3)
Gauge Theories with Spontaneous Symmetry Breaking
689(42)
The Higgs Mechanism
690(10)
The Glashow-Weinberg-Salam Theory of Weak Interactions
700(19)
Symmetries of the Theory of Quarks and Leptons
719(12)
Problems
728(3)
Quantization of Spontaneously Broken Gauge Theories
731(50)
The Rξ Gauges
732(11)
The Goldstone Boson Equivalence Theorem
743(15)
One-Loop Corrections in Weak-Interaction Gauge Theory
758(23)
Problems
773(2)
Final Project: Decays of the Higgs Boson
775(6)
Epilogue
Quantum Field Theory at the Frontier
781(20)
Strong Strong Interactions
782(4)
Grand Unification and its Paradoxes
786(5)
Exact Solutions in Quantum Field Theory
791(4)
Supersymmetry
795(3)
Toward an Ultimate Theory of Nature
798(3)
Appendix: Reference Formulae 801(10)
A.1 Feynman Rules
801(2)
A.2 Polarizations of External Particles
803(2)
A.3 Numerator Algebra
805(1)
A.4 Loop Integrals and Dimensional Regularization
806(2)
A.5 Cross Sections and Decay Rates
808(1)
A.6 Physical Constants and Conversion Factors
809(2)
Bibliography 811(6)
Index 817

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