dorsal/arxiv
View SchemaQuantum Fields a la Sylvester and Witt
| Authors | H. Saller, R. Breuninger, M. Haft |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9506013 |
| URL | https://arxiv.org/abs/quant-ph/9506013 |
| DOI | 10.1007/BF02820745 |
| Journal | NuovoCim.A108:1225-1246,1995 |
Abstract
A structural explanation of the coupling constants in the standard model, i.e the fine structure constant and the Weinberg angle, and of the gauge fixing contributions is given in terms of symmetries and representation theory. The coupling constants are normalizations of Lorentz invariantly embedded little groups (spin and polarization) arising in a harmonic analysis of quantum vector fields. It is shown that the harmonic analysis of massless fields requires an extension of the familiar Fourier decomposition, containing also indefinite unitary nondecomposable time representations. This is illustrated by the nonprobabilistic contributions in the electromagnetic field.
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"abstract": "A structural explanation of the coupling constants in the standard model, i.e\nthe fine structure constant and the Weinberg angle, and of the gauge fixing\ncontributions is given in terms of symmetries and representation theory. The\ncoupling constants are normalizations of Lorentz invariantly embedded little\ngroups (spin and polarization) arising in a harmonic analysis of quantum vector\nfields. It is shown that the harmonic analysis of massless fields requires an\nextension of the familiar Fourier decomposition, containing also indefinite\nunitary nondecomposable time representations. This is illustrated by the\nnonprobabilistic contributions in the electromagnetic field.",
"arxiv_id": "quant-ph/9506013",
"authors": [
"H. Saller",
"R. Breuninger",
"M. Haft"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1007/BF02820745",
"journal_ref": "NuovoCim.A108:1225-1246,1995",
"title": "Quantum Fields a la Sylvester and Witt",
"url": "https://arxiv.org/abs/quant-ph/9506013"
},
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