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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages, RevTex

Scientific paper

10.1142/S0217751X02009874

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 $\theta^{\mu \nu}$ could transform. We conclude that $\theta^{\mu \nu}$ 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.

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