Torsion, Dilaton and Gauge Couplings
Non-Abelian gauge fields are traditionally not coupled to torsion due to violation of gauge invariance. However, it is possible to couple torsion to Yang-Mills fields while maintaining gauge invariance provided one accepts that the gauge couplings then become scalar fields. In the past this has been...
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Main Author | |
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Format | Journal Article |
Language | English |
Published |
24.03.2006
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Subjects | |
Online Access | Get full text |
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Summary: | Non-Abelian gauge fields are traditionally not coupled to torsion due to
violation of gauge invariance. However, it is possible to couple torsion to
Yang-Mills fields while maintaining gauge invariance provided one accepts that
the gauge couplings then become scalar fields. In the past this has been
untenable from experimental constraints at the current epoch for the
electromagnetic field at least. Recent researches on the "landscape" arising
out of string theory provides for many scalar fields which eventually determine
the various low energy parameters including gauge couplings in the universe.
With this scenario, we argue that the very early universe provides a
Riemann-Cartan geometry with non-zero torsion coupling to gauge fields. The
torsion is just the derivative of gauge coupling (scalar) fields. As a result,
in the evolution of the Universe, when the scalar (moduli) fields determine the
geometry of the universe to be Riemannian, torsion goes to zero, implying that
the associated modulus (and hence the gauge coupling) has a constant value. An
equivalent view is that the modulus fixes the gauge coupling at some constant
value causing the torsion to vanish as a consequence. Of course, when torsion
vanishes we recover Einstein's theory for further evolution of the universe. |
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DOI: | 10.48550/arxiv.gr-qc/0603095 |