New MC determination of the critical coupling in $\phi^4_2$ theory

TL;DR

This paper uses Monte Carlo lattice methods to non-perturbatively determine the critical coupling ratio in two-dimensional $^4_2$ theory, providing a precise value in the continuum limit.

Contribution

It presents a new non-perturbative determination of the critical coupling ratio in $^4_2$ theory using Monte Carlo lattice simulations.

Findings

Critical coupling ratio $f_0$ = 11.055(14) in the continuum limit.

Non-perturbative insights into $^4_2$ theory.

Methodology for lattice Monte Carlo analysis of critical phenomena.

Abstract

We investigate the non-perturbative features of $\phi^4_2$ theory in two dimensions, using Monte Carlo lattice methods. In particular we determine the ratio $f_0 \equiv g/\mu^2$, where g is the unrenormalised coupling, in the infinite volume and continuum limit. Our final result is $f_0$ = 11.055(14).