文档介绍：arXiv:hep-th/0409035 v1 2 Sep 2004
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Part I: Spin Zero
0) Preface
1) Attempts at Relativistic Quantum Mechanics (prerequisite: none)
2) Lorentz Invariance (prerequisite: 1)
3) Relativistic Quantum Fields and Canonical Quantization (2)
4) The Spin-Statistics Theorem (3)
5) The LSZ Reduction Formula (3)
6) Path Integrals in Quantum Mechanics (none)
7) The Path Integral for the Harmonic Oscillator (6)
8) The Path Integral for Free Field Theory (3, 7)
9) The Path Integral for Interacting Field Theory (8)
10) Scattering Amplitudes and the Feynman Rules (5, 9)
11) Cross Sections and Decay Rates (10)
12) The Lehmann-K¨all´en Form of the Exact Propagator (9)
13) Dimensional Analysis withh ¯ = c = 1 (3)
14) Loop Corrections to the Propagator (10, 12, 13)
15) The One-Loop Correction in Lehmann-K¨all´en Form (14)
16) Loop Corrections to the Vertex (14)
17) Other 1PI Vertices (16)
18) Higher-Order Corrections and Renormalizability (17)
19) Perturbation Theory to All Orders: the Skeleton Expansion (18)
20) Two-Particle Elastic Scattering at One Loop (10, 19)
21) The Quantum Action (19)
22) Continuous Symmetries and Conserved Currents (8)
23) Discrete Symmetries: P , C, T , and Z (22)
24) Unstable Particles and Resonances (10, 14)
25) Infrared Divergences (20)
26) Other Renormalization Schemes (25)
27) Formal Development of the Renormalization Group (26)
28) Nonrenormalizable Theories and Effective Field Theory (26)
29) Spontaneous Symmetry Breaking (3)
30) Spontaneous Symmetry Breaking and Loop Corrections (19, 29)
31) Spontaneous Breakdown of Continuous Symmetries (29)
32) Nonabelian Symmetries (31)
2
Quantum Field Theory