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- W4376166932 abstract "Perturbative PT-symmetric quantum field theories with anti-Hermitian and P-odd interaction terms are studied in path integral formalism and the i phi^3 model is calculated in detail. The nonlocal field transformation induced by the C operator and corresponding transformations to Hermitian theories are given systematically, which are manifestly 4-dimensional invariant. It is found that the i phi^3 model can be transformed into infinitely many physically inequivalent Hermitian theories with different S matrices under above nonlocal transformations. Similar problem caused by nonlocal tranformations in Hermitian quantum field theories is also discussed. 0-dimensional models are studied numerically to verify the validity of those transformations. We put forward the question of physical meaning of PT-symmetric quantum field theory based on the arbitrariness caused by the seemingly inevitable nonlocality." @default.
- W4376166932 created "2023-05-12" @default.
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- W4376166932 date "2023-05-09" @default.
- W4376166932 modified "2023-09-27" @default.
- W4376166932 title "PT-Symmetric Quantum Field Theory in Path Integral Formalism and Arbitrariness Problem" @default.
- W4376166932 doi "https://doi.org/10.48550/arxiv.2305.05809" @default.
- W4376166932 hasPublicationYear "2023" @default.
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