The U(1)-Higgs Model: Critical Behaviour in the Confinig-Higgs region

TL;DR

This study numerically investigates the critical behavior of the U(1)-Higgs lattice model near the phase transition, identifying a first order line ending in a second order point with mean field critical exponents.

Contribution

It provides the first detailed numerical analysis of the critical properties of the U(1)-Higgs model in the confining-Higgs region, including critical exponents and phase diagram features.

Findings

Evidence of a first order transition line ending in a second order point.

Critical exponents consistent with mean field predictions.

Accurate determination of the critical point and phase transition slope.

Abstract

We study numerically the critical properties of the U(1)-Higgs lattice model, with fixed Higgs modulus, in the region of small gauge coupling where the Higgs and Confining phases merge. We find evidence of a first order transition line that ends in a second order point. By means of a rotation in parameter space we introduce thermodynamic magnitudes and critical exponents in close resemblance with simple models that show analogous critical behaviour. The measured data allow us to fit the critical exponents finding values in agreement with the mean field prediction. The location of the critical point and the slope of the first order line are accurately given.