English

2-Loop $\beta$ Function for Non-Hermitian PT Symmetric $\iota g\phi^3$ Theory

High Energy Physics - Theory 2021-07-20 v1 Mathematical Physics math.MP Quantum Physics

Abstract

We investigate Non-Hermitian quantum field theoretic model with ιgϕ3\iota g\phi^3 interaction in 6 dimension. Such a model is PT-symmetric for the pseudo scalar field ϕ\phi. We analytically calculate the 2-loop β\beta function and analyse the system using renormalization group technique. Behavior of the system is studied near the different fixed points. Unlike gϕ3g\phi^3 theory in 6 dimension ιgϕ3\iota g\phi^3 theory develops a new non trivial fixed point which is energetically stable.

Keywords

Cite

@article{arxiv.1912.07595,
  title  = {2-Loop $\beta$ Function for Non-Hermitian PT Symmetric $\iota g\phi^3$ Theory},
  author = {Aditya Dwivedi and Bhabani Prasad Mandal},
  journal= {arXiv preprint arXiv:1912.07595},
  year   = {2021}
}

Comments

Latex, 14 pages, 6 figures

R2 v1 2026-06-23T12:47:33.269Z