2-Loop β Function for Non-Hermitian PT Symmetric gφ3 Theory

Abstract

We investigate Non-Hermitian quantum field theoretic model with gφ3 interaction in 6 dimension. Such a model is PT-symmetric for the pseudo scalar field φ. We analytically calculate the 2-loop β function and analyse the system using renormalization group technique. Behavior of the system is studied near the different fixed points. Unlike gφ3 theory in 6 dimension gφ3 theory develops a new non trivial fixed point which is energetically stable.

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