English

On the center-vortex baryonic area law

High Energy Physics - Theory 2009-11-10 v1

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 YY 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\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>3SU(N), N>3. These results are based on the (correct) baryonic Stokes' theorem given in the earlier work claiming a Δ\Delta law. The YY-form area law for SU(3) is in agreement with the most recent lattice calculations.

Cite

@article{arxiv.hep-th/0305101,
  title  = {On the center-vortex baryonic area law},
  author = {John M. Cornwall},
  journal= {arXiv preprint arXiv:hep-th/0305101},
  year   = {2009}
}

Comments

5 pages, RevTeX4, 5 .eps figures

R2 v1 2026-07-22T15:17:08.159Z