An Almost Perfect Quantum Lattice Action for Low-energy SU(2) Gluodynamics

TL;DR

This paper develops a near-perfect lattice action for low-energy SU(2) gluodynamics, deriving monopole and string models that accurately reproduce physical quantities with minimal lattice artifacts.

Contribution

It introduces a new approach to construct almost cut-off independent lattice actions for SU(2) gluodynamics, including monopole and string models derived from numerical simulations and analytical methods.

Findings

String tension matches quantum SU(2) results

Glueball mass estimates are consistent with known data

Lattice actions show minimal cutoff dependence

Abstract

We study various representations of infrared effective theory of SU(2) Gluodynamics as a (quantum) perfect lattice action. In particular we derive a monopole action and a string model of hadrons from SU(2) Gluodynamics. These are lattice actions which give almost cut-off independent physical quantities even on coarse lattices. The monopole action is determined by numerical simulations in the infrared region of SU(2) Gluodynamics. The string model of hadrons is derived from the monopole action by using BKT transformation. We illustrate the method and evaluate physical quantities such as the string tension and the mass of the lowest state of the glueball analytically using the string model of hadrons. It turns out that the classical results in the string model is near to the one in quantum SU(2) Gluodynamics.