Flow equations in light-front QCD

TL;DR

This paper applies flow equations to light-front QCD, deriving an effective quark-antiquark interaction with confinement features and analyzing the dynamical gluon mass and IR singularities.

Contribution

It introduces a novel application of flow equations to light-front QCD, revealing a mechanism for confinement and dynamical gluon mass generation.

Findings

Dynamical gluon mass evolves with the cut-off.

Effective quark-antiquark interaction exhibits Coulomb and confining singularities.

The string tension is linked to the IR regulator in the gluon sector.

Abstract

Light-front QCD is studied by the method of flow equations. Dynamical gluon mass is generated, which evolves with the cut-off according to renormalization group equation. Eliminating by flow equations the quark gluon coupling with the dynamical gluon mode, one obtains an effective interaction between quark and antiquark which exibits the Coulomb and confining singularities. The scale, which regulates the light-front IR singularities in the gluon sector, defines the string tension of confining interaction. The mechanism of confinement in the light-front formalism is suggested, based on the singular nature of the light-front gauge.