Higher loop β function for non-Hermitian PT symmetric ιgϕ3 theory

Abstract We investigate Non-Hermitian quantum field theoretic model with ι g ϕ 3 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 g ϕ 3 theory in 6 dimension ι g ϕ 3 theory develops a new non trivial fixed point which is energetically stable. Existence of new non-trivial UV fixed points is also shown for three and four loop β -functions.