Edge Singularity in ``Induced QCD"

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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23 pages, preprint PUPT-1460

Scientific paper

The behaviour of the master field in ``induced QCD" near the edge of its support is studied. An extended scaling domain, where the shape of the master field is a universal function, is found. This function is determined explicitly for the case of dimensions, close to one, and the $D-1$-expansion is constructed. The problem of the meson spectrum corresponding to this solution is analyzed. As a byproduct of these calculations, a new, explicit equation for the meson spectrum in ``induced QCD" with a general potential is derived.

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