The Master Field in Generalised $QCD_2$

Details The Master Field in Generalised $QCD_2$ The Master Field in Generalised $QCD_2$

1995-12-31

arxiv.org/abs/hep-th/9512225v1

Nucl.Phys. B471 (1996) 246-262

Physics

High Energy Physics

High Energy Physics - Theory

18 pages (big), 2 postscript figures, harvmac, epsf

Scientific paper

10.1016/0550-3213(96)00191-5

As an illustration of the formalism of the master field we consider generalised $QCD_2$. We show how Wilson Loop averages for an arbitrary contour can be computed explicitly and with some ease. A generalised Hopf equation is shown to govern the behaviour of the eigenvalue density of Wilson loops. The collective field description of the theory is therefore deduced. Finally, the non-trivial master gauge field and field strengths are obtained. These results do not seem easily accessible with conventional means.

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