Traditionally, scalar ϕ 4 theory in four dimensions is thought to be quantum trivial in the
continuum. This tradition is apparently well grounded both in physics arguments and …

The renormalization group flow of a Hermitian field theory is shown to have trajectories
which lead to a non-Hermitian parity-time (PT) symmetric field theory for an axion coupled to …

A bstract We propose a broad class of d-dimensional conformal field theories of SU (N)
adjoint scalar fields generalising the 4d Fishnet CFT (FCFT) discovered by Ö. Gürdogan and …

This paper considers the possibility that, starting from a relativistic Hermitian quantum field
theory in the ultraviolet (UV) regime, and applying a nonperturbative renormalization-group …

Recently, Ai, Bender and Sarkar gave a prescription on how to obtain 𝒫 𝒯-symmetric field
theory results from an analytic continuation of Hermitian field theories. We perform this …

We show that scalar quantum field theory in four Euclidean dimensions with global O (N) 3
symmetry and imaginary tetrahedral coupling is asymptotically free and bounded from below …

Scalar $\lambda\phi^ 4$ theory in 3+ 1D, for a positive coupling constant $\lambda> 0$, is
known to have no interacting continuum limit, which is referred to as quantum triviality …

Ordinary Hermitian λ ϕ 4 theory is known to exist in d< 4 dimensions when λ> 0. For
negative values of the coupling, it has been suggested that a physical meaningful definition …

A bstract Recently, Romatschke found that the poles in O (N) scalar theories do not affect
observables such as temperature and pressure. Romatschke went on to show this result …

We consider exact Wentzel-Kramers-Brillouin analysis to a PT symmetric quantum
mechanics defined by the potential, V (x)= ω 2 x 2+ gx 2 (ix) ϵ= 2 with ω∈ R≥ 0, g∈ R> 0 …