Teleparallel Gravity and Dimensional Reductions of Noncommutative Gauge Theory

Details Teleparallel Gravity and Dimensional Reductions of Noncommutative Gauge Theory Teleparallel Gravity and Dimensional Reductions of Noncommutative Gauge Theory

2001-05-10

arxiv.org/abs/hep-th/0105094v2

Phys.Rev. D64 (2001) 104019

Physics

High Energy Physics

High Energy Physics - Theory

31 pages LaTeX; References added

Scientific paper

10.1103/PhysRevD.64.104019

We study dimensional reductions of noncommutative electrodynamics on flat space which lead to gauge theories of gravitation. For a general class of such reductions, we show that the noncommutative gauge fields naturally yield a Weitzenbock geometry on spacetime and that the induced diffeomorphism invariant field theory can be made equivalent to a teleparallel formulation of gravity which macroscopically describes general relativity. The Planck length is determined in this setting by the Yang-Mills coupling constant and the noncommutativity scale. The effective field theory can also contain higher-curvature and non-local terms which are characteristic of string theory. Some applications to D-brane dynamics and generalizations to include the coupling of ordinary Yang-Mills theory to gravity are also described.

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