Discrete Symmetries (C,P,T) in Noncommutative Field Theories

Details Discrete Symmetries (C,P,T) in Noncommutative Field Theories Discrete Symmetries (C,P,T) in Noncommutative Field Theories

2000-01-25

arxiv.org/abs/hep-th/0001167v3

Phys.Rev.Lett.84:5265-5268,2000

Physics

High Energy Physics

High Energy Physics - Theory

Revtex File, 4 pages, no figures, minor changes from previous verion. To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.84.5265

In this paper we study the invariance of the noncmmutative gauge theories under C, P and T transformations. For the noncommutative space (when only the spatial part of $\theta$ is non-zero) we show that NCQED is Parity invariant. In addition, we show that under charge conjugation the theory on noncommutative $R^4_{\theta}$ is transformed to the theory on $R^4_{-\theta}$, so NCQED is a CP violating theory. The theory remains invariant under time reversal if, together with proper changes in fields, we also change $\theta$ by $-\theta$. Hence altogether NCQED is CPT invariant. Moreover we show that the CPT invariance holds for general noncommutative space-time.

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