Gauge Backgrounds from Commutators and the Role of Noncommutative Space

Details Gauge Backgrounds from Commutators and the Role of Noncommutative Space Gauge Backgrounds from Commutators and the Role of Noncommutative Space

2004-02-05

arxiv.org/abs/hep-th/0402049v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

The gauge connections corresponding to electromagnetism, Yang-Mills theory and Einstein gravity can be derived by assuming specific commutation relations between the phase-space variables of a first quantized theory. Extending the procedure to noncommuting coordinates leads to new types of dynamics, which are explored. In particular, the conditions for the coexistence of an electromagnetic background and a noncommutative two-from are found, as well as a generalized mechanism of dimensional reduction. The noncommutative deformation of a gravitational background is also constructed. The present formulation suggests some simple experimental tests of noncommutativity.

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