David Bergman
Towards a Unified Field Theory from
Dimensional Reduction of Higher Dimensional
Space-Times with Propagating Torsion
I will present a general theory described by a
generic metric tensor and a full third rank
torsion tensor in 1+N-dimensions,
1+3 of which are to be identified with ordinary
space-time. The equations of motion for this theory
are derived from an action
principle linear in the scalar curvature and including
terms that are quadratic only in the antisymmetric
parts of the Riemann
and Ricci tensors, thus reducing to a standard
unification theory when torsion is turned off.
It is demonstrated that, after
requirements of physical consistency are enforced
to reduce the number of torsion components and
application of dimensional
reduction, the action reduces to a form similar to
that of a standard gauge field theory with a set of
scalar fields coupled to
the gauge field and a scalar potential provided
directly from the torsion induced curvature. Thus
in this model gravity, and
only gravity, is identified with the metric tensor
while the other boson fields are identified with the
torsion tensor. The
results are compared to other models and the
sensitivity of the results to a particular dimensional
reduction scheme is
discussed.
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