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arXiv · hep-th/0305101

On the center-vortex baryonic area law

John M. Cornwall
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Abstract

We correct an unfortunate error in an earlier work of the author, and show that in center-vortex QCD (gauge group SU(3)) the baryonic area law is the so-called $Y$ law, described by a minimal area with three surfaces spanning the three quark world lines and meeting at a central Steiner line joining the two common meeting points of the world lines. (The earlier claim was that this area law was a so-called $Δ$ law, involving three extremal areas spanning the three pairs of quark world lines.) We give a preliminary discussion of the extension of these results to $SU(N), N>3$. These results are based on the (correct) baryonic Stokes' theorem given in the earlier work claiming a $Δ$ law. The $Y$-form area law for SU(3) is in agreement with the most recent lattice calculations.

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John M. Cornwall. 2003-05-12. On the center-vortex baryonic area law. https://doi.org/10.1103/physrevd.69.065013

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