Original study of the $g{\varphi }^2(i\varphi {)}^{\epsilon }$ theory. Analysis of all orders in $\epsilon$ and resummations

Vincenzo Branchina, Alberto Chiavetta, Filippo Contino

In a recent work the Green's functions of the $\mathcal{P}\mathcal{T}$-symmetric scalar theory $g{\varphi }^2(i\varphi {)}^{\epsilon }$ were calculated at the first order of the logarithmic expansion, i.e. at first…