Noncommutative Gauge Theory without Lorentz Violation
高能物理 - 理论
2009-11-07 v3 高能物理 - 唯象学
摘要
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.
引用
@article{arxiv.hep-th/0206035,
title = {Noncommutative Gauge Theory without Lorentz Violation},
author = {Carl E. Carlson and Christopher D. Carone and Nahum Zobin},
journal= {arXiv preprint arXiv:hep-th/0206035},
year = {2009}
}
备注
19 pages, 3 figures, revtex 4 (Version to appear in PRD)