Critical behaviour of the Ginzburg-Landau model in the type II region

TL;DR

This paper investigates the critical behavior of the three-dimensional Ginzburg-Landau model in the type II region, analyzing correlation lengths and vortex tension to understand phase transition properties.

Contribution

It provides a detailed analysis of the critical phenomena in the 3D Ginzburg-Landau model at large scalar self-coupling, comparing it with the 3D O(2) scalar theory.

Findings

Identification of different scaling regions near the transition

Measurement of correlation lengths and vortex tension

Comparison with 3D O(2) scalar theory criticality

Abstract

We study the critical behaviour of the three-dimensional U(1) gauge+Higgs theory (Ginzburg-Landau model) at large scalar self-coupling \lambda (``type II region'') by measuring various correlation lengths as well as the Abrikosov-Nielsen-Olesen vortex tension. We identify different scaling regions as the transition is approached from below, and carry out detailed comparisons with the criticality of the 3d O(2) symmetric scalar theory.