The behavior of the sextic coupling for the scalar field at the intermediate and strong coupling regime

TL;DR

This paper investigates the behavior of the renormalized sextic coupling in two-dimensional scalar $ield^4$ theory at intermediate and strong couplings, using lattice regularization, and compares results with renormalization-group predictions.

Contribution

It provides new lattice regularization results for the sextic coupling in 2D $ield^4$ theory at strong couplings, confirming agreement with renormalization-group findings in the Ising limit.

Findings

Good agreement with renormalization-group results in the Ising limit

Lattice regularization effectively captures strong coupling behavior

Enhanced understanding of scalar field interactions at intermediate couplings

Abstract

We study the behavior of the renormalized sextic coupling at the intermediate and strong coupling regime for the $\phi^4 $ theory defined in $d=2$-dimension. We found a good agreement with the results obtained by the field-theoretical renormalization-group in the Ising limit. In this work we use the lattice regularization method.