Multi-Instanton Effect in Two Dimensional QCD

Details Multi-Instanton Effect in Two Dimensional QCD Multi-Instanton Effect in Two Dimensional QCD

1995-04-04

arxiv.org/abs/hep-th/9504004v2

Mod.Phys.Lett. A10 (1995) 1549-1563

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, Latex, 3 Postscript figures; misprint corrected and several references added

Scientific paper

10.1142/S0217732395001678

We analyze multi-instanton sector in two dimensional U(N) Yang-Mills theory on a sphere. We obtain a contour intregrals representation of the multi-instanton amplitude and find ``neutral'' configurations of the even number instantons are dominant in the large N limit. Using this representation, we calculate 1,2,3,4 bodies interactions and the free energies for $N =3,4,5$ numerically and find that in fact the multi-instanton interaction effect essentially contribute to the large N phase transition discovered by Douglas and Kazakov.

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