String tension and string susceptibility in two-dimensional generalized Weingarten model

TL;DR

This paper investigates a two-dimensional generalized Weingarten model, calculating Wilson loops to analyze string tension and susceptibility, revealing suppression of branched-polymer configurations in specific parameter regions.

Contribution

It introduces a generalized Weingarten model interpolating between reduced models and gauge theories, providing numerical insights into string properties.

Findings

String susceptibility approaches -2, indicating suppressed branched-polymer configurations.

Numerical results support the model's relevance to large-N gauge theories.

Monte Carlo calculations effectively determine string tension and susceptibility.

Abstract

We study the two-dimensional generalized Weingarten model reduced to a point, which interpolates reduced Weingarten model and the large-N gauge theory. We calculate the expectation value of the Wilson loop using Monte-Carlo method and determine the string tension and string susceptibility. The numerical result suggests that the string susceptibility approaches to -2 in a certain parametric region, which implies that the branched-polymer configurations are suppressed.