Various Representations of Infrared Effective Lattice SU(2) Gluodynamics

TL;DR

This paper explores different effective models of infrared SU(2) gluodynamics derived from Abelian monopole actions, including string and dual Abelian-Higgs models, showing their classical string tension aligns with quantum results.

Contribution

It introduces new representations of infrared SU(2) gluodynamics, deriving string and dual Abelian-Higgs models from monopole actions obtained via numerical methods.

Findings

Classical string tension matches quantum SU(2) gluodynamics tension.

Derived models provide consistent effective descriptions of infrared gluodynamics.

Numerical derivation of monopole actions underpins the models.

Abstract

We study various representations of infrared effective theory of SU(2) gluodynamics starting from the Abelian monopole action derived recently by numerical calculations in the Maximal Abelian projection. In particular we derive the string model and the dual Abelian-Higgs (dual Ginzburg-Landau) model which corresponds to infrared SU(2) gluodynamics. It occurs that the classical string tension in the string model is of the same order as the string tension in quantum SU(2) gluodynamics.