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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Bibliographic Details
Published inGeneral relativity and gravitation Vol. 46; no. 8
Main Authors Kassandrov, Vladimir V., Rizcallah, Joseph A.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.08.2014
Subjects
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Differential Geometry
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Research Article
Theoretical
Charge quantization
Conformal invariance
Geometrization of electromagnetism
Lienard–Wiechert field
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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”.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-014-1772-5