Berezinskii-Kosterlitz-Thouless phase transition from lattice sine-Gordon model

TL;DR

This paper investigates the Berezinskii-Kosterlitz-Thouless phase transition in the lattice sine-Gordon model using nonperturbative lattice techniques and advanced Monte Carlo algorithms to determine critical properties.

Contribution

It provides nonperturbative lattice results on the sine-Gordon model, including critical temperature and finite size scaling analysis, employing Fourier accelerated hybrid Monte Carlo methods.

Findings

Critical temperature determined from autocorrelation time.

Finite size scaling of the 'thickness' observable analyzed.

Confirmation of BKT transition characteristics in lattice sine-Gordon model.

Abstract

We obtain nonperturbative results on the sine-Gordon model using the lattice field technique. In particular, we employ the Fourier accelerated hybrid Monte Carlo algorithm for our studies. We find the critical temperature of the theory based autocorrelation time, as well as the finite size scaling of the "thickness" observable used in an earlier lattice study by Hasenbusch et al.