String tension from smearing and Wilson flow methods

TL;DR

This paper compares a new smearing method with Wilson flow for extracting string tension in SU(3) Yang-Mills theory, showing they yield identical results and highlighting the practical advantages of the smearing approach.

Contribution

It introduces a new smearing-based method for measuring string tension and demonstrates its equivalence to Wilson flow with practical benefits.

Findings

Smearing and Wilson flow methods produce identical string tension results.

The smearing method offers practical advantages in calculations.

Validated the method in SU(3) Yang-Mills theory.

Abstract

Recently, we proposed a new method to extract the string tension from 4-dimensionally smeared Wilson loops. In this talk, we first show that the results obtained using this smearing method are identical to those obtained by Wilson flow, once the time step is sufficiently small. We then demonstrate the practical advantage of our method by applying it to the calculation of string tension in SU(3) Yang-Mills theory.