Scaling of Selfavoiding Tethered Membranes: 2-Loop Renormalization Group Results

TL;DR

This paper uses two-loop renormalization group calculations to analyze the scaling behavior of self-avoiding tethered membranes, providing more precise estimates of the scaling exponent  and comparing with existing theoretical predictions.

Contribution

It presents the first two-loop order calculation of the scaling exponent  for self-avoiding tethered membranes using renormalization group methods.

Findings

 agrees with Gaussian variational estimate at large d

 is close to Flory estimate at d=3

Provides more accurate scaling exponent calculations

Abstract

The scaling properties of selfavoiding polymerized membranes are studied using renormalization group methods. The scaling exponent \nu is calculated for the first time at two loop order. \nu is found to agree with the Gaussian variational estimate for large space dimension d and to be close to the Flory estimate for d=3.