Critical properties of the three- and four-dimensional gauge glass

TL;DR

This paper investigates the critical properties of the gauge glass model in three and four dimensions using numerical methods, analyzing finite-size effects and comparing with two-dimensional results and Ising spin glasses.

Contribution

It provides accurate estimates of critical parameters for the gauge glass in 3D and 4D, and compares the critical exponents across dimensions and with Ising spin glasses.

Findings

Critical exponents vary with space dimension.

Finite-size scaling corrections significantly affect measurements.

Results in 2D included for completeness.

Abstract

The gauge glass in dimensions 3 and 4 is studied using a variety of numerical methods, in order to obtain accurate and reliable values for the critical parameters. Detailed comparisons are made of the sensitivity of the different techniques to corrections to finite-size scaling, which are generally the major source of systematic error in such measurements. For completeness we also present results in two dimensions. The variation of the critical exponents with space dimension is compared to results in Ising spin glasses.