Isospectral local Hermitian theory for the PT -symmetric iϕ3 quantum field theory

IF 5 2区物理与天体物理 Q1 Physics and Astronomy Physical Review D Pub Date : 2025-01-21 DOI:10.1103/physrevd.111.025016

Yi-Da Li, Qing Wang

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Abstract

We propose a new method to calculate perturbatively the isospectral Hermitian theory for the PT-symmetric iϕ3 quantum field theory in d dimensions, whose result is local. The result of the new method in 1 dimension reproduces our previous result in the ix3 quantum mechanics, and the new method can be seen as a generalization of our previous method to quantum field theory. We also find the isospectral local Hermitian theory has the same form in all dimensions and differs in coefficients only, and our previous results in quantum mechanics can be used directly to determine the form of the isospectral local Hermitian quantum field theory.

Published by the American Physical Society

2025

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PT对称iϕ3量子场论的等谱局域厄米理论

我们提出了一种新的方法来摄动计算pt对称iϕ3量子场论在d维上的等谱厄米理论，其结果是局部的。新方法在一维中的结果再现了我们之前在ix3量子力学中的结果，新方法可以看作是我们之前的方法在量子场论中的推广。我们还发现等谱局域厄米理论在所有维度上具有相同的形式，只有系数不同，并且我们之前在量子力学中的结果可以直接用于确定等谱局域厄米量子场论的形式。2025年由美国物理学会出版

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.