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量子场物理学 英文版PDF|Epub|txt|kindle电子书版本网盘下载

量子场物理学 英文版
  • (美)斯通著 著
  • 出版社: 北京;西安:世界图书出版公司
  • ISBN:9787506292764
  • 出版时间:2010
  • 标注页数:271页
  • 文件大小:10MB
  • 文件页数:284页
  • 主题词:理论物理学-教材-英文

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图书目录

1 Discrete Systems1

1.1 One-Dimensional Harmonic Crystal1

1.1.1 Normal Modes1

1.1.2 Harmonic Oscillator4

1.1.3 Annihilation and Creation Operators for Normal Modes5

1.2 Continuum Limit7

1.2.1 Sums and Integrals7

1.2.2 Continuum Fields8

2 Relativistic Scalar Fields12

2.1 Conventions12

2.2 The Klein-Gordon Equation13

2.2.1 Relativistic Normalization14

2.2.2 An Inner Product16

2.2.3 Complex Scalar Fields17

2.3 Symmetries and Noether's Theorem18

2.3.1 Internal Symmetries18

2.3.2 Space-Time Symmetries21

3 Perturbation Theory25

3.1 Interactions25

3.2 Perturbation Theory26

3.2.1 Interaction Picture26

3.2.2 Propagators and Time-Ordered Products27

3.3 Wick's Theorem30

3.3.1 Normal Products30

3.3.2 Wick's Theorem30

3.3.3 Applications32

4 FeynmanRules37

4.1 Diagrams37

4.1.1 Diagrams in Space-time37

4.1.2 Diagrams in Momentum Space41

4.2 Scattering Theory43

4.2.1 Cross-Sections44

4.2.2 Decay of an Unstable Particle47

5 Loops,Unitarity,and Analyticity48

5.1 Unitarity of the S Matrix48

5.2 The Analytic S Matrix51

5.2.1 Origin of Analyticity51

5.2.2 Unitarity and Branch Cuts52

5.2.3 Resonances,Widths,and Lifetimes54

5.3 Some Loop Diagrams56

5.3.1 Wick Rotation56

5.3.2 Feynman Parameters58

5.3.3 Dimensional Regularization59

6 Formal Developments62

6.1 Gell-Mann Low Theorem62

6.2 Lehmann-K?llén Spectral Representation64

6.3 LSZ Reduction Formulae67

6.3.1 Amputation of External Legs67

6.3.2 In and Out States and Fields68

6.3.3 Borcher's Classes71

7 Fermions72

7.1 Dirac Equation72

7.2 Spinors,Tensors,and Currents74

7.2.1 Field Bilinears74

7.2.2 Conservation Laws75

7.3 Holes and the Dirac Sea75

7.3.1 Positive and Negative Energies75

7.3.2 Holes78

7.4 Quantization79

7.4.1 Normal and Time-Ordered Products81

8 QED83

8.1 Quantizing Maxwell's Equations83

8.1.1 Hamiltonian Formalism83

8.1.2 Axial Gauge84

8.1.3 Lorentz Gauge85

8.2 Feynman Rules for QED88

8.2.1 M?ller Scattering90

8.3 Ward Identity and Gauge Invariance92

8.3.1 The Ward Identity92

8.3.2 Applications93

9 Electrons in Solids97

9.1 Second Quantization97

9.2 Fermi Gas and Fermi Liquid100

9.2.1 One-Particle Density Matrix100

9.2.2 Linear Response103

9.2.3 Diagram Approach104

9.2.4 Applications106

9.3 Electrons and Phonons114

10 Nonrelativistic Bosons117

10.1 The Boson Field117

10.2 Spontaneous Symmetry Breaking118

10.3 Dilute Bose Gas122

10.3.1 Bogoliubov Transfomation122

10.3.2 Field Equations125

10.3.3 Quantization126

10.3.4 Landau Criterion for Superfluidity128

10.3.5 Normal and Superfluid Densities129

10.4 Charged Bosons131

10.4.1 Gross-Pitaevskii Equation131

10.4.2 Vortices132

10.4.3 Connection with Fluid Mechanics134

11 Finite Temperature136

11.1 Partition Functions136

11.2 Worldlines137

11.3 Matsubara Sums140

12 Path Integrals143

12.1 Quantum Mechanics of a Particle143

12.1.1 Real Time143

12.1.2 Euclidean Time146

12.2 Gauge Invariance and Operator Ordering148

12.3 Correlation Functions150

12.4 Fields152

12.5 Gaussian Integrals and Free Fields153

12.5.1 Real Fields153

12.5.2 Complex Fields155

12.6 Perturbation Theory156

13 Functional Methods158

13.1 Generating Functionals158

13.1.1 Effective Action161

13.2 Ward Identities166

13.2.1 Goldstone's Theorem167

14 Path Integrals for Fermions171

14.1 Berezin Integrals171

14.1.1 A Simple Supersymmetry174

14.2 Fermionic Coherent States177

14.3 Superconductors179

14.3.1 Effective Action181

15 Lattice Field Theory185

15.1 Boson Fields185

15.2 Random Walks189

15.3 Interactions and Bose Condensation191

15.3.1 Rotational Invariance192

15.4 Lattice Fermions195

15.4.1 No Chiral Lattice Fermions200

16 The Renormalization Group201

16.1 Transfer Matrices202

16.1.1 Continuum Limit204

16.1.2 Two-Dimensional Ising Model205

16.2 Block Spins and Renormalization Group206

16.2.1 Correlation Functions212

17 Fields and Renormalization213

17.1 The Free-Field Fixed Point213

17.2 The Gaussian Model215

17.3 General Method219

17.4 Nonlinear σ Model220

17.4.1 Renormalizing225

17.4.2 Solution of the RGE228

17.5 Renormalizing λ?4229

18 Large N Expansions233

18.1 O(N) Linear σ-Model233

18.2 Large N Expansions237

18.2.1 Linear vs.Nonlinear σ-Models241

A Relativistic State Normalization246

B The General Commutator248

C Dimensional Regularization250

C.1 Analytic Continuation and Integrals250

C.2 Propagators252

D Spinors and the Principle of the Sextant254

D.1 Constructing the γ-Matrices254

D.2 Basic Theorem255

D.3 Chirality256

D.4 Spin(2N),Pin(2N),and SU(N)?SO(2N)257

E Indefinite Metric258

F Phonons and Momentum261

G Determinants in Quantum Mechanics264

Index267

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