On the Space-Time Symmetries of Non-Commutative Gauge Theories

Abstract

We study the space-time symmetries and transformation properties of the non-commutative U(1) gauge theory, by using Noether charges. We carry out our analysis by keeping an open view on the possible ways $\hat{I}{¸}^{\hat{I}¼\hat{I}½}$ could transform. We conclude that $\hat{I}{¸}^{\hat{I}¼\hat{I}½}$ cannot transform under any space-time transformation since the theory is not invariant under the conformal transformations, with the only exception of space-time translations. The same analysis applies to other gauge groups.

6 pages, RevTex