Mathematical models of spontaneous symmetry breaking

Details Mathematical models of spontaneous symmetry breaking Mathematical models of spontaneous symmetry breaking

2008-02-17

arxiv.org/abs/0802.2382v1

Int. J. Geom. Methods Mod. Phys. v5 (2008) N2, v-xvi

Physics

Mathematical Physics

14 pages, The Preface to the special issue "Higgs Mechanism and Spontaneous Symmetry Breaking" of International Journal of Geo

Scientific paper

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.

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