Quantum Field Theory Part I: Spin Zero
Mark Srednicki Department of Physics University of California Santa Barbara, CA 93106
[email protected]
This is a draft version of Part I of a three-part introductory textbook on quantum field theory.
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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 with h ¯ = 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