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 (k · 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) ≠ 0, at k = 0 --- the data favor a non-analyticity in W(J).

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