Includes bibliographical references (p. [207]-214) and index.
Processing Action (note)
committed to retain
Contents
pt. 1. Symmetry breaking in classical systems -- Symmetries of a classical system -- Spontaneous symmetry breaking -- Symmetries in classical field theory -- General properties of solutions of classical field equations --Stable structures, hilbert sectors, phases -- Stability under space translations. Positive energy -- Noether theorem and symmetry breaking -- Examples -- The Goldstone theorem -- Appendixes: A. Properties of the free wave propagator -- B. The Cauchy problem for small times -- C. The global Cauchy problem -- D. The non-linear wave equation with driving team -- E. Time independent solutions defining physical sectors -- pt. 2. Symmetry breaking in quantum systems -- Quantum mechanics. Algebraic structure and states -- Fock representation -- Non-fock representations -- Mathematical description of infinitely extended quantum systems -- Physically relevant representations -- Cluster property and pure phases -- Examples -- Symmetry breaking in quantum systems -- Examples -- Constructive symmetry breaking -- Symmetry breaking in Ising model -- Thermal states -- Fermi and bose gas at non-zero temperature -- Breaking of continuous symmetries. Goldstone's theorem -- The Goldstone theorem at non-zero temperature -- The Goldstone theorem for relativistic local fields -- An extension of Goldstone theorem to non-symmetric Hamiltonians -- Symmetry breaking in gauge theories.