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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
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- (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