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  • 1906.05239

    Submitted manuscript, 180 KB, PDF document

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DOI

We consider the -symmetric quantum field theory on the noncommutative spacetime with angular twist and construct its pseudo-Hermitian interpretation. We explore the differences between internal and spatial parities in the context of the angular twist and for the latter we find new -symmetric interactions that are nontrivial only for the noncommutative spacetime. We reproduce the same formula for the leading order T-matrix of the equivalent Hermitian model as the one obtained earlier for the quantum field theory on the commutative spacetime. This formula implies that the leading order scattering amplitude preserves the symmetries of the noncommutative geometry if they are not broken in the non-Hermitian formulation.

Translated title of the contributionPT-симметричная квантовая теория поля на некоммутативном пространстве-времени
Original languageEnglish
Article number2050012
JournalModern Physics Letters A
Volume35
Issue number5
Early online date22 Oct 2019
DOIs
StatePublished - 2020

    Scopus subject areas

  • Astronomy and Astrophysics
  • Nuclear and High Energy Physics
  • Physics and Astronomy(all)

    Research areas

  • PT symmetry, non-Hermitian Hamiltonians, noncommutative geometry, non-Hermitian Hamiltonian

ID: 47725111