A model of color confinement

Abstract

A simple model is presented that describes the free energy $W(J)$ of QCD coupled to an external current that is a single plane wave, $J(x)=H\cos (k\cdot x)$. The model satisfies a bound obtained previously on $W(J)$ that comes from the Gribov horizon. If one uses this model to fit recent lattice data --- which give for the gluon propagator $D(k)$ a non-zero value, $D(0)\ne 0$, at $k=0$ --- the data favor a non-analyticity in $W(J)$.

Comments: 3 pages, talk given at Quark Confinement and Hadron Spectrum IX, Madrid, Spain, Aug. 30 to Sept. 3, 2010