A model of color confinement

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

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, $D(0) \neq 0$, at $k = 0$ --- the data favor a non-analyticity in $W(J)$.

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