Four-loop critical properties of polymerized membranes

TL;DR

This paper computes four-loop corrections to the critical exponent η in a model of flat phase membranes, improving agreement with other methods and validating the perturbative approach.

Contribution

It provides the first four-loop calculation of η for flat phase membranes, enhancing the precision of theoretical predictions.

Findings

Four-loop corrections improve agreement with other methods.

Perturbative approach is validated for this problem.

Enhanced accuracy in critical exponent estimation.

Abstract

We calculate four-loop order corrections to the critical exponent $\eta$ in the two-field model of flat phase membranes. Obtained results show better agreement with the other calculation methods and confirm the validity of the perturbative approach to the considered problem.