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Classical Dynamical Theory

• 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 Interpretation

• 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 Integrals

• 14: Approximation and evaluation of the path integral

• 15: The nonrelativistic particle in a curved space

• 16: The heat kernel

• Linear Systems

• 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 Fields

• 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. Applications

• 28: Vacuum currents. Anomalies.

• 29: More vacuum phenomena

• 30: Black hole vacua. Hawking radiation.

• 31: The closed-time-path or 'in-in' formalism

• Special Topics

• 33: Canonical transformations. Space inversion and time reversal.

• 34: Quantum electrodynamics

• 35: The Yang-Mills and gravitational fields

• Simple Illustrative Examples

• 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