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

TL;DR

This paper analytically computes the two-loop beta function for a non-Hermitian PT-symmetric quantum field theory with an i g phi^3 interaction in six dimensions, revealing a new stable fixed point.

Contribution

It provides the first two-loop beta function calculation for the non-Hermitian PT-symmetric i g phi^3 theory in six dimensions and analyzes its fixed points.

Findings

Discovery of a new non-trivial stable fixed point.

Analytical two-loop beta function calculation.

Behavior analysis near fixed points.

Abstract

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