2024/12/14 by Yi-Da Li, Qing Wang, Li, Yi-Da +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Non-Hermitian Physics
paper · pdf · doi:10.48550/arxiv.2412.10732
openalex publication_date 2024/12/14 · openalex created_date 2024/12/18 · openalex updated_date 2026/07/28
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.