A low-energy effective Yang-Mills theory for quark and gluon confinement

Details A low-energy effective Yang-Mills theory for quark and gluon confinement A low-energy effective Yang-Mills theory for quark and gluon confinement

2011-03-20

arxiv.org/abs/1103.3829v2

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, no figures; accepted for publication in Physical Review D (Rapid Communication)

Scientific paper

We derive a gauge-invariant low-energy effective model of the Yang-Mills theory. We find that the effective gluon propagator belongs to the Gribov-Stingl type and agrees with it when a mass term which breaks nilpotency of the BRST symmetry is included. We show that the effective model with gluon propagator of the Gribov-Stingl type exhibits both quark and gluon confinement: the Wilson loop average has the area law and the Schwinger function violates reflection positivity. However, we argue that both quark and gluon confinement can be obtained even in the absence of such a mass term.

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