An Almost Perfect Lattice Action for infrared QCD

TL;DR

This paper develops an almost perfect lattice action for infrared QCD using block-spin transformations, restoring continuum rotational invariance and accurately reproducing the string tension, with discussions on gauge independence.

Contribution

It introduces a new lattice action for monopoles and strings in QCD that closely approximates continuum physics through block-spin transformations.

Findings

Restores continuum rotational invariance.

Reproduces the physical string tension accurately.

Discusses gauge independence of the abelian and monopole scenarios.

Abstract

A block-spin transformation on the dual lattice leads us to an almost perfect lattice action for monopoles and strings in QCD. The perfect operator for a static quark potential is fixed when we compare the above action with the perfect action obtained analytically after infinite-step block-spin transformations in a simple case. The continuum rotational invariance is restored and the physical value of the string tension is reproduced fairly well. Gauge independence of the abelian and the monopole scenario is discussed.