Multi-instanton effect in two-dimensional QCD

DOI10.1142/S0217732395001678zbMATH Open1022.81747arXivhep-th/9504004OpenAlexW2034209001MaRDI QIDQ2728121

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Publication date: 31 July 2001

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Abstract: 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.

Full work available at URL: https://arxiv.org/abs/hep-th/9504004

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