An Abelian effective action reproducing screening and confinement in quenched SU(2) QCD

TL;DR

This paper derives an effective Abelian action for quenched SU(2) QCD, demonstrating that Abelian matter fields are crucial for understanding string breaking and confinement phenomena.

Contribution

It provides a numerical derivation of the Abelian effective action, highlighting the essential role of matter fields in the infrared behavior of quenched SU(2) QCD.

Findings

Abelian matter fields significantly contribute to the effective action.

The effective action reproduces screening and confinement effects.

Matter fields are vital even at low energies in quenched SU(2) QCD.

Abstract

In an Abelian projection SU(2) gluodynamics contains Abelian gauge fields (diagonal degrees of freedom) and Abelian matter fields (off-diagonal degrees). The matter fields are essential for the breaking of the adjoint string. We obtain numerically the effective action of the Abelian fields in quenched SU(2) QCD and show that the Abelian matter fields provide an essential contribution to the total action even in the infrared region.