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Symmetry breaking

Author: F Strocchi
Publisher: Berlin ; New York : Springer, ©2008.
Series: Lecture notes in physics, 732.; Lecture notes in physics, 732.
Edition/Format:   Print book : Document   Computer File : English : 2nd edView all editions and formats
Publication:Springer e-books
Database:WorldCat
Summary:

A primer on rigorous aspects of symmetry breaking. It presents a detailed discussion of the mechanism of symmetry breaking in classical field theory in relation with the Noether theorem. It explains  Read more...

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Material Type: Document, Internet resource
Document Type: Book, Computer File, Internet Resource
All Authors / Contributors: F Strocchi
ISBN: 9783540735922 3540735925 9783540735939 3540735933
OCLC Number: 183531756
Description: x, 216 pages : illustrations ; 24 cm.
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.
Series Title: Lecture notes in physics, 732.; Lecture notes in physics, 732.
Responsibility: F. Strocchi.
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From the reviews of the second edition: "This second edition of Strocchi's Symmetry breaking presents a complete, generalized and highly rigorous discussion of the subject, based on a formal analysis Read more...

 
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