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Introduction To Quantum Field Theory [Mīkstie vāki]

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  • Formāts: Paperback / softback, 868 pages, height x width: 234x156 mm, weight: 1260 g
  • Izdošanas datums: 11-Sep-2019
  • Izdevniecība: CRC Press
  • ISBN-10: 0367320568
  • ISBN-13: 9780367320560
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Introduction To Quantum Field TheoryPalielināt
  • Formāts: Paperback / softback, 868 pages, height x width: 234x156 mm, weight: 1260 g
  • Izdošanas datums: 11-Sep-2019
  • Izdevniecība: CRC Press
  • ISBN-10: 0367320568
  • ISBN-13: 9780367320560
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9780367320560.html
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.

Recenzijas

"This is such a serious competitor to Bjorken and Drell that I fear for our royalties." Prof. J.D. Bjorken, Stanford Linear Accelerator Center

"I have used the text of Peskin and Schroeder in teaching several graduate courses. It provides students with nearly all the tools required of the modern field theorist. It is the only field theory text with a thoroughly modern, Wilsonian treatment of renormalization and the renormalization group. Students are left well equipped to tackle research problems in QCD and the electroweak theory." Prof. Michael Dine, University of California, Santa Cruz

"Peskin and Schroeder have written an introductory field theory textbook with the right choice of material at the right level and all presented from a completely modern point of view. It provides a pedagogical introduction to the tools and concepts of field theory that will be of use to students of condensed matter, cosmology, and particle physics alike." Prof. Jeffrey Harvey, University of Chicago

Preface xi
Notations and Conventions xix
Editor's Foreword xxii
Part I Feynman Diagrams and Quantum Electrodynamics
1 Invitation: Pair Production in e+e- Annihilation
3(10)
2 The Klein-Gordon Field
13(22)
2.1 The Necessity of the Field Viewpoint
13(2)
2.2 Elements of Classical Field Theory
15(4)
Lagrangian Field Theory; Hamiltonian Field Theory; Noether's Theorem
2.3 The Klein-Gordon Field as Harmonic Oscillators
19(6)
2.4 The Klein-Gordon Field in Space-Time
25(10)
Causality; The Klein-Gordon Propagator; Particle Creation by a Classical Source Problems
33(2)
3 The Dirac Field
35(42)
3.1 Lorentz Invariance in Wave Equations
35(5)
3.2 The Dirac Equation
40(5)
Weyl Spinors
3.3 Free-Particle Solutions of the Dirac Equation
45(4)
Spin Sums
3.4 Dirac Matrices and Dirac Field Bilinears
49(3)
3.5 Quantization of the Dirac Field
52(12)
Spin and Statistics; The Dirac Propagator
3.6 Discrete Symmetries of the Dirac Theory
64(13)
Parity; Time Reversal; Charge Conjugation Problems
71(6)
4 Interacting Fields and Feynman Diagrams
77(54)
4.1 Perturbation Theory--Philosophy and Examples
77(5)
4.2 Perturbation Expansion of Correlation Functions
82(6)
4.3 Wick's Theorem
88(2)
4.4 Feynman Diagrams
90(9)
4.5 Cross Sections and the S-Matrix
99(9)
4.6 Computing S-Matrix Elements from Feynman Diagrams
108(7)
4.7 Feynman Rules for Fermions
115(8)
Yukawa Theory
4.8 Feynman Rules for Quantum Electrodynamics
123(8)
The Coulomb Potential Problems
126(5)
5 Elementary Processes of Quantum Electrodynamics
131(44)
5.1 e+e- μ+ μ-: Introduction
131(10)
Trace Technology; Unpolarized Cross Section; e+e- → Hadrons
5.2 e+e- → μ+μ-: Helicity Structure
141(5)
5.3 e+e- → μ+μ-: Nonrelativistic Limit
146(7)
Bound States; Vector Meson Production and Decay
5.4 Crossing Symmetry
153(5)
Electron-Muon Scattering; Mandeistam Variables
5.5 Compton Scattering
158(17)
Photon Polarization Sums; The Klein-Nishina Formula; High-Energy Behavior; Pair Annihilation into Photons
Problems
169(6)
6 Radiative Corrections: Introduction
175(36)
6.1 Soft Bremsstrahlung
176(8)
Classical Computation; Quantum Computation
6.2 The Electron Vertex Function: Formal Structure
184(5)
6.3 The Electron Vertex Function: Evaluation
189(10)
Feynman Parameters; Precision Tests of QED
6.4 The Electron Vertex Function: Infrared Divergence
199(3)
6.5 Summation and Interpretation of Infrared Divergences
202(9)
Problems
208(3)
7 Radiative Corrections: Some Formal Developments
211(54)
7.1 Field-Strength Renormalization
211(11)
The Electron Self-Energy
7.2 The LSZ Reduction Formula
222(8)
7.3 The Optical Theorem
230(8)
The Optical Theorem for Feynman Diagrams; Unstable Particles
7.4 The Ward-Takahashi Identity
238(6)
7.5 Renormalization of the Electric Charge
244(21)
Dimensional Regularization Problems
257(2)
Final Project: Radiation of Gluon Jets
259(6)
Part II Renormalization
8 Invitation: Ultraviolet Cutoffs and Critical Fluctuations
265(10)
9 Functional Methods
275(40)
9.1 Path Integrals in Quantum Mechanics
275(7)
9.2 Functional Quantization of Scalar Fields
282(10)
Correlation Functions; Feynman Rules; Functional Derivatives and the Generating Functional
9.3 Quantum Field Theory and Statistical Mechanics
292(2)
9.4 Quantization of the Electromagnetic Field
294(4)
9.5 Functional Quantization of Spinor Fields
298(8)
Anticommuting Numbers; The Dirac Propagator; Generating Functional for the Dirac Field; QED; Functional Determinants
*9.6 Symmetries in the Functional Formalism
306(9)
Equations of Motion; Conservation Laws; The Ward-Takahashi Identity Problems
312(3)
10 Systematics of Renormalization
315(32)
10.1 Counting of Ultraviolet Divergences
315(8)
10.2 Renormalized Perturbation Theory
323(7)
One-Loop Structure of φ4 Theory
10.3 Renormalization of Quantum Electrodynamics
330(5)
One-Loop Structure of QED
10.4 Renormalization Beyond the Leading Order
335(3)
*10.5 A Two-Loop Example
338(9)
Problems
344(3)
11 Renormalization and Symmetry
347(46)
11.1 Spontaneous Symmetry Breaking
348(4)
The Linear Sigma Model; Goldstone's Theorem
*11.2 Renormalization and Symmetry: An Explicit Example
352(12)
*11.3 The Effective Action
364(6)
*11.4 Computation of the Effective Action
370(9)
The Effective Action in the Linear Sigma Model
*11.5 The Effective Action as a Generating Functional
379(4)
*11.6 Renormalization and Symmetry: General Analysis
383(10)
Goldstone's Theorem Revisited Problems
389(4)
12 The Renormalization Group
393(46)
12.1 Wilson's Approach to Renormalization Theory
394(12)
12.2 The Callan-Symanzik Equation
406(12)
Renormalization Conditions; The Callan-Symanzik Equation; Computation of β and γ The Meaning of β and γ
12.3 Evolution of Coupling Constants
418(10)
Solution of the Callan-Symanzik Equation; An Application to QED; Alternatives for the Running of Coupling Constants
*12.4 Renormalization of Local Operators
428(4)
*12.5 Evolution of Mass Parameters
432(7)
Critical Exponents: A First Look
Problems
438(1)
13 Critical Exponents and Scalar Field Theory
439(34)
*13.1 Theory of Critical Exponents
440(11)
Exponents of the Spin Correlation Function; Exponents of Thermodynamic Functions; Values of the Critical Exponents
*13.2 Critical Behavior in Four Dimensions
451(3)
*13.3 The Nonlinear Sigma Model
454(19)
Problems
466(3)
*Final Project: The Coleman-Weinberg Potential
469(4)
Part III Non-Abelian Gauge Theories
14 Invitation: The Parton Model of Hadron Structure
473(32)
15 Non-Abelian Gauge Invariance
481(1)
15.1 The Geometry of Gauge Invariance
482(4)
15.2 The Yang-Mills Lagrangian
486(5)
*15.3 The Gauge-Invariant Wilson Loop
491(4)
15.4 Basic Facts About Lie Algebras
495(10)
Classification of Lie Algebras; Representations; The Casimir Operator Problems
502(3)
16 Quantization of Non-Abelian Gauge Theories
505(40)
16.1 Interactions of Non-Abelian Gauge Bosons
506(6)
Feynman Rules for Fermions and Gauge Bosons; Equality of Coupling Constants; A Flaw in the Argument
16.2 The Faddeev-Popov Lagrangian
512(3)
16.3 Ghosts and Unitarity
515(2)
*16.4 BRST Symmetry
517(4)
*16.5 One-Loop Divergences of Non-Abelian Gauge Theory
521(12)
The Gauge Boson Self-Energy; The β Function; Relations among Counterterms
*16.6 Asymptotic Freedom: The Background Field Method
533(8)
16.7 Asymptotic Freedom: A Qualitative Explanation
541(4)
Problems
544(1)
17 Quantum Chromodynamics
545(54)
171 From Quarks to QCD
545(3)
17.2 e+e~ Annihilation into Hadrons
548(7)
Total Cross Section; The Running of as; Gluon Emission
17.3 Deep Inelastic Scattering
555(8)
Deep Inelastic Neutrino Scattering; The Distribution Functions
17.4 Hard-Scattering Processes in Hadron Collisions
563(11)
Lepton Pair Production; Kinematics; Jet Pair Production
17.5 Parton Evolution
574(19)
The Equivalent Photon Approximation; Multiple Splittings; Evolution Equations for QED; The Altarelli-Parisi Equations
17.6 Measurements of as
593(6)
Problems
595(4)
18 Operator Products and Effective Vertices
599(90)
*18.1 Renormalization of the Quark Mass Parameter
599(6)
*18.2 QCD Renormalization of the Weak Interactions
605(7)
*18.3 The Operator Product Expansion
612(3)
*18.4 Operator Analysis of e+e- Annihilation
615(6)
*18.5 Operator Analysis of Deep Inelastic Scattering
621(30)
Kinematics; Expansion of the Operator Product; The Dispersion Integral; Operator Rescaling; Operator Mixing; Relation to the Altarelli-Parisi Equations Problems
647(4)
19 Perturbation Theory Anomalies
651(1)
*19.1 The Axial Current in Two Dimensions
651(8)
Vacuum Polarization Diagrams; The Current Operator Equation; An Example with Fermion Number Nonconservation
*19.2 The Axial Current in Four Dimensions
659(8)
The Current Operator Equation; Triangle Diagrams; Chiral Transformation of the Functional Integral
*19.3 Goldstone Bosons and Chiral Symmetries in QCD
667(9)
Spontaneous Breaking of Chiral Symmetry; Anomalies of Chiral Currents
*19.4 Chiral Anomalies and Chiral Gauge Theories
676(6)
*19.5 Anomalous Breaking of Scale Invariance
682(7)
Problems
686(3)
20 Gauge Theories with Spontaneous Symmetry Breaking
689(42)
20.1 The Higgs Mechanism
690(10)
An Abelian Example; Systematics of the Higgs Mechanism; Non-Abelian Examples; Formal Description
20.2 The Glashow-Weinberg-Salam Theory of Weak Interactions
700(19)
Gauge Boson Masses; Coupling to Fermions; Experimental Consequences of the Glashow-Weinberg-Salam Theory; Fermion Mass Terms; The Higgs Boson; A Higgs Sector?
*20.3 Symmetries of the Theory of Quarks and Leptons
719(12)
Problems
728(3)
21 Quantization of Spontaneously Broken Gauge Theories
731(50)
21.1 The R(: Gauges
732(11)
An Abelian Example; ξ Dependence in Perturbation Theory; Non-Abelian Analysis
21.2 The Goldstone Boson Equivalence Theorem
743(15)
Formal Aspects of Goldstone Boson Equivalence;
Top Quark Decay; e+e- → W+W-
21.3 One-Loop Corrections in Weak-Interaction Gauge Theory
758(23)
Theoretical Orientation, and a Specific Problem; Influence of Heavy Quark Corrections; Computation of Vacuum Polarization Amplitudes; The Effect of mt Problems
773(2)
Final Project: Decays of the Higgs Boson
775(6)
Epilogue
22 Quantum Field Theory at the Frontier
781(20)
22.1 Strong Strong Interactions
782(4)
22.2 Grand Unification and its Paradoxes
786(5)
22.3 Exact Solutions in Quantum Field Theory
791(4)
22.4 Supersymmetry
795(3)
22.5 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
Micheal E. Peskin received his doctorate in physics from Cornell University and has held research appointments in theoretical physics at Harvard, Cornell, and CEN Saclay. In 1982, he joined the stafff of the Stanford Linear Accelerator Center, where he is now Professor of Physics.





Daniel V. Schroeder received his doctorate in physics from Stanford University in 1990. He held visiting appointments at Pomona College and Grinnell College before joining the faculty of Weber State University, where he is now Associate Professor of Physics.