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arXiv · hep-th/0206035

Noncommutative Gauge Theory without Lorentz Violation

Carl E. Carlson·Christopher D. Carone·Nahum Zobin
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Abstract

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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Carl E. Carlson, Christopher D. Carone, Nahum Zobin. 2002-08-13. Noncommutative Gauge Theory without Lorentz Violation. https://doi.org/10.1103/physrevd.66.075001

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