Symmetry breaking via internal geometry
Author(s) -
Andrew Vansickle Talmadge
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.2023
Subject(s) - mathematics , spontaneous symmetry breaking , higgs field , higgs mechanism , geometry , global symmetry , symmetry breaking , higgs boson , theoretical physics , physics , quantum mechanics
Gauge theories commonly employ complex vector-valued fields toreduce symmetry groups through the Higgs mechanism ofspontaneous symmetry breaking. The geometry of the internal spaceV is tacitly assumed to be the metric geometry of some static,nondynamical hermitian metric k. In this paper, we considerG-principal bundle gauge theories, where G is a subgroup ofU(V,k) (the unitary transformations on the internal vector spaceV with hermitian metric k) and we consider allowing thehermitian metric on the internal space V to become an additionaldynamical element of the theory. We find a mechanism forinterpreting the Higgs scalar field as a feature of the geometryof the internal space while retaining the successful aspects ofthe Higgs mechanism and spontaneous symmetry breakin
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom