CPT violation does not lead to violation of Lorentz invariance and vice versa
CPT violation does not lead to violation of Lorentz invariance and vice versa
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DOI：
10.1016/j.physletb.2011.03.026
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发表时间：
2011-03
影响因子：
4.4
通讯作者：
M. Chaichian;A. Dolgov;V. Novikov;A. Tureanu
中科院分区：
文献类型：
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作者：
M. Chaichian;A. Dolgov;V. Novikov;A. Tureanu
我们提出了一类相互作用的非局域量子场论，其中存在洛伦兹不变性而违反了CPT不变性。这一结果排除了先前文献中的一种说法，即CPT违反意味着违反Lorentz不变性。此外，该定理还存在倒易性，即只要洛伦兹不变性的剩余对称性允许粒子的适当表象理论，违反洛伦兹不变性并不会导致CPT违犯。后者发生在非对易时空上的量子场论的情况下，它取代了破缺的洛伦兹对称，具有扭曲的Poincaré不变性。
We present a class of interacting nonlocal quantum field theories, in which the CPT invariance is violated while the Lorentz invariance is present. This result rules out a previous claim in the literature that the CPT violation implies the violation of Lorentz invariance. Furthermore, there exists the reciprocal of this theorem, namely that the violation of Lorentz invariance does not lead to the CPT violation, provided that the residual symmetry of Lorentz invariance admits the proper representation theory for the particles. The latter occurs in the case of quantum field theories on a noncommutative space–time, which in place of the broken Lorentz symmetry possesses the twisted Poincaré invariance.