Sheikh-Jabbari MM
The Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, Trieste, Italy.
Phys Rev Lett. 2000 Jun 5;84(23):5265-8. doi: 10.1103/PhysRevLett.84.5265.
In this paper we study the invariance of the noncommutative gauge theories under C, P, and T transformations. For the noncommutative space (when only the spatial part of straight theta is nonzero) we show that noncommutative QED (NCQED) is parity invariant. In addition, we show that under charge conjugation the theory on noncommutative R(4)(straight theta) is transformed to the theory on R(4)(-straight 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 straight theta by -straight theta. Hence altogether NCQED is CPT invariant. Moreover, we show that the CPT invariance holds for general noncommutative space-time.
在本文中，我们研究非对易规范理论在C、P和T变换下的不变性。对于非对易空间（当直的θ仅空间部分非零时），我们证明非对易量子电动力学（NCQED）是宇称不变的。此外，我们表明在电荷共轭下，非对易R(4)（直的θ）上的理论变换为R(4)（-直的θ）上的理论，所以NCQED是一个CP破坏理论。如果连同场的适当变化一起，我们也将直的θ变为-直的θ，则该理论在时间反演下保持不变。因此，总的来说NCQED是CPT不变的。此外，我们表明CPT不变性对于一般的非对易时空成立。
