The behavior of the sextic coupling for the the three-dimensional $\phi^4 $ theory

TL;DR

This paper investigates the behavior of the six-point renormalized coupling constant in three-dimensional 3 theory using lattice regularization, focusing on intermediate and strong coupling regimes, and compares results with the Ising limit.

Contribution

It provides new insights into the six-point coupling behavior in 3D 3 theory across different coupling strengths using lattice methods.

Findings

Good agreement with Ising limit results.

Behavior characterized in intermediate and strong coupling regimes.

Lattice regularization effectively studies renormalized couplings.

Abstract

In this work we use the lattice regularization method to study the behavior of the six point renormalized coupling constant defined at zero momentum for the three-dimensional $\phi^4 $ theory in the intermediate and strong coupling domain. The result is in good agreement with the corresponding study in the Ising limit.