Center-vortex baryonic area law

We correct an unfortunate error in an earlier work of the author, and show that in the center-vortex picture of QCD [gauge group $\mathrm{SU}\left(3\right)\mathrm{}]$ the asymptotic quenched 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.) By asymptotic we mean the Y law holds at asymptotically large quark separations from each other; at separations of the order of the gauge-theory scale length, there may be Δ-like contributions. We give a preliminary discussion of the extension of these results to $\mathrm{SU}\left(N\right),N>\mathrm{}3.\mathrm{}$ 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 $\mathrm{SU}\left(3\right)\mathrm{}$ is in agreement with the most recent lattice calculations.