arXiv:hep-th/0206035·v3·High Energy Physics — Theory
Noncommutative Gauge Theory without Lorentz Violation
Carl E. Carlson🇺🇸 · Christopher D. Carone🇺🇸 · Nahum Zobin (William and Mary)🇺🇸
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.
Comments: 19 pages, 3 figures, revtex 4 (Version to appear in PRD)