Symmetry breaking via internal geometry
Gauge theories commonly employ complex vector-valued fields to reduce symmetry groups through the Higgs mechanism of spontaneous symmetry breaking. The geometry of the internal space V is tacitly assumed to be the metric geometry of some static, nondynamical hermitian metric k. In this paper, we con...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2023 |
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| _version_ | 1832548253280763904 |
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| author | Andrew Talmadge |
| author_facet | Andrew Talmadge |
| author_sort | Andrew Talmadge |
| collection | DOAJ |
| description | Gauge theories commonly employ complex vector-valued fields to
reduce symmetry groups through the Higgs mechanism of
spontaneous symmetry breaking. The geometry of the internal space
V is tacitly assumed to be the metric geometry of some static,
nondynamical hermitian metric k. In this paper, we consider
G-principal bundle gauge theories, where G is a subgroup of
U(V,k) (the unitary transformations on the internal vector space
V with hermitian metric k) and we consider allowing the
hermitian metric on the internal space V to become an additional
dynamical element of the theory. We find a mechanism for
interpreting the Higgs scalar field as a feature of the geometry
of the internal space while retaining the successful aspects of
the Higgs mechanism and spontaneous symmetry breaking |
| format | Article |
| id | doaj-art-36beb06ac87243f092dfbfd08482d9f7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-36beb06ac87243f092dfbfd08482d9f72025-02-03T06:15:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005132023203010.1155/IJMMS.2005.2023Symmetry breaking via internal geometryAndrew Talmadge0Department of Curriculum and Instruction, College of Education and Human Development, University of New Orleans, New Orleans 70148, LA, USAGauge theories commonly employ complex vector-valued fields to reduce symmetry groups through the Higgs mechanism of spontaneous symmetry breaking. The geometry of the internal space V is tacitly assumed to be the metric geometry of some static, nondynamical hermitian metric k. In this paper, we consider G-principal bundle gauge theories, where G is a subgroup of U(V,k) (the unitary transformations on the internal vector space V with hermitian metric k) and we consider allowing the hermitian metric on the internal space V to become an additional dynamical element of the theory. We find a mechanism for interpreting the Higgs scalar field as a feature of the geometry of the internal space while retaining the successful aspects of the Higgs mechanism and spontaneous symmetry breakinghttp://dx.doi.org/10.1155/IJMMS.2005.2023 |
| spellingShingle | Andrew Talmadge Symmetry breaking via internal geometry International Journal of Mathematics and Mathematical Sciences |
| title | Symmetry breaking via internal geometry |
| title_full | Symmetry breaking via internal geometry |
| title_fullStr | Symmetry breaking via internal geometry |
| title_full_unstemmed | Symmetry breaking via internal geometry |
| title_short | Symmetry breaking via internal geometry |
| title_sort | symmetry breaking via internal geometry |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2023 |
| work_keys_str_mv | AT andrewtalmadge symmetrybreakingviainternalgeometry |