Critical mass renormalization in renormalized phi4 theories in two and three dimensions

TL;DR

This paper develops a nonperturbative mass renormalization method for O(N)-symmetric phi4 theories in two and three dimensions, using resummed perturbative series, aligning well with lattice results.

Contribution

It introduces a resummation approach for high-order perturbative series to determine nonperturbative mass renormalization in phi4 theories.

Findings

Results agree with lattice calculations

Effective nonperturbative mass renormalization scheme

Applicable to two and three-dimensional theories

Abstract

We consider the O(N)-symmetric phi4 theory in two and three dimensions and determine the nonperturbative mass renormalization needed to obtain the phi4 continuum theory. The required nonperturbative information is obtained by resumming high-order perturbative series in the massive renormalization scheme, taking into account their Borel summability and the known large-order behavior of the coefficients. The results are in good agreement with those obtained in lattice calculations.