Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-05-12
Phys.Rev. D69 (2004) 065013
Physics
High Energy Physics
High Energy Physics - Theory
5 pages, RevTeX4, 5 .eps figures
Scientific paper
10.1103/PhysRevD.69.065013
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 $\Delta$ 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 $\Delta$ law. The $Y$-form area law for SU(3) is in agreement with the most recent lattice calculations.
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