Highly-improved lattice field-strength tensor

TL;DR

This paper introduces a highly-improved lattice field-strength tensor with reduced discretization errors, enhancing the accuracy of topological charge and action operators in lattice gauge theory simulations.

Contribution

The authors derive an O(a^4)-improved lattice field-strength tensor using multiple clover terms and tadpole improvement, advancing the precision of lattice operators.

Findings

Reduced discretization errors in topological charge calculations

Enhanced accuracy of lattice action operators

Comparison shows improved operators approach continuum values more closely

Abstract

We derive an O(a^4)-improved lattice version of the continuum field-strength tensor. Discretization errors are reduced via the combination of several clover terms of various sizes, complemented by tadpole improvement. The resulting improved field-strength tensor is used to construct O(a^4)-improved topological charge and action operators. We compare the values attained by these operators as we cool several configurations to self-duality with a previously defined highly-improved action and assess the relative scale of the remaining discretization errors.