Physical phase space of lattice Yang-Mills theory and the moduli space of flat connections on a Riemann surface

dc.creatorFrolov, S. A.
dc.date1995-11-03
dc.date.accessioned2026-07-07T11:14:48Z
dc.date.available2026-07-07T11:14:48Z
dc.descriptionIt is shown that the physical phase space of $\g$-deformed Hamiltonian lattice Yang-Mills theory, which was recently proposed in refs.[1,2], coincides as a Poisson manifold with the moduli space of flat connections on a Riemann surface with $(L-V+1)$ handles and therefore with the physical phase space of the corresponding $(2+1)$-dimensional Chern-Simons model, where $L$ and $V$ are correspondingly a total number of links and vertices of the lattice. The deformation parameter $\g$ is identified with $\frac {2π}{k}$ and $k$ is an integer entering the Chern-Simons action.
dc.description12 pages, latex, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/9511018
dc.identifierhttp://arxiv.org/abs/hep-th/9511018
dc.identifierTheor.Math.Phys.113:1289-1298,1997; Teor.Mat.Fiz.113:100-111,1997
dc.identifierdoi:10.1007/BF02634016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192195
dc.subjectHigh Energy Physics - Theory
dc.titlePhysical phase space of lattice Yang-Mills theory and the moduli space of flat connections on a Riemann surface
dc.typetext

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