Mathematical models of spontaneous symmetry breaking

Abstract

The Higgs mechanism of mass generation is the main ingredient in the contemporary Standard Model and its various generalizations. However, there is no comprehensive theory of spontaneous symmetry breaking. We summarize the relevant mathematical results characterizing spontaneous symmetry breaking phenomena in algebraic quantum theory, axiomatic quantum field theory, group theory, and classical gauge theory.

14 pages, The Preface to the special issue "Higgs Mechanism and Spontaneous Symmetry Breaking" of International Journal of Geometric Methods in Modern Physics (v5, N2 2008)

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Cited by in corpus (5)

• Inequivalent Vacuum States in Algebraic Quantum Theory
• Theory of Classical Higgs Fields. I. Matter Fields
• Classical Higgs fields
• Relating the wave-function collapse with Euler's formula, with applications to Classical Statistical Field Theory
• Composite bundles in Clifford algebras. Gravitation theory. Part I