The effective potential and resummation procedure to multidimensional complex cubic potentials for weak and strong-coupling

TL;DR

This paper develops a recursive method for calculating the effective potential of multidimensional complex cubic potentials, applying variational perturbation theory to resum results in the strong-coupling limit, demonstrating improved convergence.

Contribution

It introduces a recursive calculation approach combined with variational perturbation theory for analyzing complex cubic potentials across coupling regimes.

Findings

Successful recursive calculation in weak-coupling limit

Effective resummation of results in strong-coupling limit using VPT

Convergence of VPT results aligns with theoretical expectations

Abstract

The method for the recursive calculation of the effective potential is applied successfully in case of weak coupling limit (g tend to zero) to a multidimensional complex cubic potential. In strong-coupling limit (g tend to infinity), the result is resumed using the variational perturbation theory (VPT). It is found that the convergence of VPT-results approaches those expected.