图书简介

Classical Dynamical Theory1: Fundamentals; 2: Dynamics and invariance transformations; 3: Small disturbances and Green’s functions; 4: The Peierls bracket; 5: Finite disturbances. Tree theorems. Asymptotic fields.; 6: Conservation laws; The Heuristic Road to Quantization. The Quantum Formalism and Its Interpretation7: Classical theory of measurement; 8: Quantum theory of measurement; 9: Interpretation of the quantum formalism I; 10: The Schwinger variational principle; 11: The quantum mechanics of standard canonical systems; 12: Interpretation of the quantum formalism II; Evaluation and Approximation of Feynman Functional Integrals13: The functional integral for standard canonical systems; 14: Approximation and evaluation of the path integral; 15: The nonrelativistic particle in a curved space; 16: The heat kernel; Linear Systems17: Linear boson fields in stationary backgrounds; 18: Quantization of linear boson fields; 19: Linear fermion fields. Stationary backgrounds.; 20: Quantization of linear fermion fields; 21: Linear fields in nonstationary backgrounds; 22: Linear (or linearized) fields possessing invariant flows; Nonlinear Fields23: The effective action, the S-matrix, and Slavnov-Taylor identities; 24: Gauge theories I. General formalism.; 25: Gauge theories II. Background Field Methods. Scattering Theory.; 26: Case-I gauge theory without ghosts. Description of cases II and III.; Tools for Quantum Field Theory. Applications27: The heat kernel; 28: Vacuum currents. Anomalies.; 29: More vacuum phenomena; 30: Black hole vacua. Hawking radiation.; 31: The closed-time-path or ’in-in’ formalism; Special Topics32: Euclideanization and Renormalization; 33: Canonical transformations. Space inversion and time reversal.; 34: Quantum electrodynamics; 35: The Yang-Mills and gravitational fields; Simple Illustrative ExamplesX0: The nonrelativistic particle in flat space; X1: A simple Fermi system; X2: A Fermi doublet; X3: Fermi multiplet; X4: The Fermi oscillator; X5: The Bose oscillator; X6: A fourth-order system; X7: A model for ghosts; X8: Free scalar field in flat spacetime; X9: Massive vector field in four dimensional flat spacetime; X10: Massive antisymmetric tensor field; X11: Massive symmetric tensor field in flat spacetime; X12: Massive spinor field in flat spacetime; X13: Massive spin-3/2 field in flat spacetime; X14: Elecromagnetic field in flat spacetime; X15: Massless symmetric tensor field in flat spacetime; X16: Massless spinor field in four dimensional flat spacetime; X17: Massless spin-3/2 field in four dimensional flat spacetime; X18: Renormalization group and spontaneous symmetry breaking in the (lambda phi) to the fourth power model; X19: The relativistic particle in Minkowski spacetime; X20: A simple soluble nonlinear model; X21: Quantum mechanics on a circle; X22: Quantum mechanics on a Klein bottle; X23: Ghosts for ghosts; X24: Massive antisymmetric tensor field; A: Appendix A; B: Appendix B; C: Appendix C; D: Appendix D; E: Appendix E; F: Appendix F

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