Tunneling in two dimensional QCD

Details Tunneling in two dimensional QCD Tunneling in two dimensional QCD

2006-06-16

arxiv.org/abs/hep-th/0606153v3

Nucl.Phys.B752:197-205,2006

Physics

High Energy Physics

High Energy Physics - Theory

10 pages. Clarifying remarks have been added

Scientific paper

10.1016/j.nuclphysb.2006.06.027

The spectral density for two dimensional continuum QCD has a non-analytic behavior for a critical area. Apparently this is not reflected in the Wilson loops. However, we show that the existence of a critical area is encoded in the winding Wilson loops: Although there is no non-analyticity or phase transition in these Wilson loops, the dynamics of these loops consists of two smoothly connected domains separated by the critical area, one domain with a confining behavior for large winding Wilson loops, and one (below the critical size) where the string tension disappears. We show that this can be interpreted in terms of a simple tunneling process between an ordered and a disordered state. In view of recent results by Narayanan and Neuberger this tunneling may also be relevant for four dimensional QCD.

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