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

Abstract

We investigate Non-Hermitian quantum field theoretic model with $\iota g{\varphi }^3$ interaction in 6 dimension. Such a model is PT-symmetric for the pseudo scalar field $\varphi$. 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 $g{\varphi }^3$ theory in 6 dimension $\iota g{\varphi }^3$ theory develops a new non trivial fixed point which is energetically stable.

Latex, 14 pages, 6 figures