The string tension from smeared Wilson loops at large N

TL;DR

This paper analyzes smeared Wilson loops in SU(N) Yang-Mills theory to determine the string tension and asymptotic parameters, confirming large N behavior and the validity of the reduction idea through TEK model results.

Contribution

It provides a high-statistics analysis of smeared Wilson loops across multiple N values, including TEK model validation, and explores the large N limit of string tension in Yang-Mills theory.

Findings

String tension values are consistent with a 1/N^2 approach to large N.

TEK model results match extrapolated large N values.

Validation of reduction idea for N=841 with symmetric twist.

Abstract

We present the results of a high statistics analysis of smeared Wilson loops in 4 dimensional SU(N) Yang-Mills theory for various values of N. The data is used to analyze the behaviour of smeared Creutz ratios, extracting from them the value of the string tension and other asymptotic parameters. A scaling analysis allows us to extrapolate to the continuum limit for N=3,5,6 and 8. The results are consistent with a $1/N^2$ approach towards the large N limit. The same analysis is done for the TEK model (one-point lattice) for N=841 and a non-minimal symmetric twist with flux of $k=9$. The results match perfectly with the extrapolated large N values, confirming the validity of the reduction idea for this range of parameters.