Neutral Multi-Instanton as a Bridge from Weak to Strong Coupling phase in Two Dimensional QCD

dc.creatorOchiai, Tetsuyuki
dc.date1995-12-04
dc.date.accessioned2026-07-07T04:21:42Z
dc.date.available2026-07-07T04:21:42Z
dc.descriptionUsing a contour integral representation we analyze the multi-instanton sector in two dimensional $U(N)$ Yang-Mills theory on a sphere and argue the role of multi-instanton in the large $N$ phase transition. In the strong coupling region at the large $N$ , we encounter ``singular saddle point''. Because of this situation, ``neutral'' configurations of the multi-instanton are dominant in this region. Based on the ``neutral'' multi-instanton approximation we numerically calculate the multi-instanton amplitude , the free energies and the Wilson loops for finite $N$ . We also compare our results with the large $N$ exact solution of the free energy and the Wilson loop and argue some problems. We find the ``neutral'' multi-instanton contribution bridges the gap between weak and strong coupling phase.
dc.description26pages, Latex, 7 Postscript figures included by epsf
dc.identifierhttps://arxiv.org/abs/hep-th/9512009
dc.identifierhttp://arxiv.org/abs/hep-th/9512009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54426
dc.subjectHigh Energy Physics - Theory
dc.titleNeutral Multi-Instanton as a Bridge from Weak to Strong Coupling phase in Two Dimensional QCD
dc.typetext

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