Double gauge invariance and covariantly-constant vector fields in Weyl geometry
The wave equation and equations of covariantly-constant vector fields (CCVF) in spaces with Weyl nonmetricity turn out to possess, in addition to the canonical conformal-gauge, a gauge invariance of another type. On a Minkowski metric background, the CCVF system alone allows us to pin down the Weyl...
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Published in | General relativity and gravitation Vol. 46; no. 8 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
New York
Springer US
01.08.2014
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Subjects | |
Online Access | Get full text |
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Summary: | The wave equation and equations of covariantly-constant vector fields (CCVF) in spaces with Weyl nonmetricity turn out to possess, in addition to the canonical conformal-gauge, a gauge invariance of another type. On a Minkowski metric background, the CCVF system alone allows us to pin down the Weyl 4-metricity vector, identified herein with the electromagnetic potential. The fundamental solution is given by the ordinary Lienard–Wiechert field, in particular, by the Coulomb distribution for a charge at rest. Unlike the latter, however, the magnitude of charge is necessarily unity, “elementary”, and charges of opposite signs correspond to retarded and advanced potentials respectively, thus establishing a direct connection between the particle/antiparticle asymmetry and the “arrow of time”. |
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ISSN: | 0001-7701 1572-9532 |
DOI: | 10.1007/s10714-014-1772-5 |