$\mathcal{PT}$-symmetric quantum field theory on the noncommutative spacetime
作者： Oleg O. Novikov
DOI: 10.1142/S0217732320500121
关键词: Noncommutative geometry 、 Quantum field theory 、 Order (ring theory) 、 Twist 、 Commutative property 、 Hermitian matrix 、 Mathematical physics 、 Spacetime 、 Scattering amplitude 、 Physics
摘要: We consider the $\mathcal{PT}$-symmetric quantum field theory on noncommutative spacetime with angular twist and construct its pseudo-Hermitian interpretation. explore differences between internal spatial parities in context of for latter we find new interactions that are nontrivial only spacetime. reproduce same formula leading order $T$-matrix equivalent Hermitian model as one obtained earlier commutative This implies scattering amplitude preserves symmetries geometry if they not broken non-Hermitian formulation.
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