Noncommutative Gauge Theory without Lorentz Violation

Details Noncommutative Gauge Theory without Lorentz Violation Noncommutative Gauge Theory without Lorentz Violation

2002-06-04

arxiv.org/abs/hep-th/0206035v3

Phys.Rev. D66 (2002) 075001

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 3 figures, revtex 4 (Version to appear in PRD)

Scientific paper

10.1103/PhysRevD.66.075001

The most popular noncommutative field theories are characterized by a matrix parameter theta^(mu,nu) that violates Lorentz invariance. We consider the simplest algebra in which the theta-parameter is promoted to an operator and Lorentz invariance is preserved. This algebra arises through the contraction of a larger one for which explicit representations are already known. We formulate a star product and construct the gauge-invariant Lagrangian for Lorentz-conserving noncommutative QED. Three-photon vertices are absent in the theory, while a four-photon coupling exists and leads to a distinctive phenomenology.

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