Physical phase space of lattice Yang-Mills theory and the moduli space of flat connections on a Riemann surface
Citation:
S. A. Frolov, Physical phase space of lattice Yang-Mills theory and the moduli space of flat connections on a Riemann surface, Theoretical Mathematical Physics, 113, 1, 1997, 1289-1298Download Item:
Physical phase.pdf (Published (author's copy) - Peer Reviewed) 160.4Kb
Abstract:
It is shown that the physical phase space of
-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
is identified
with 2/k and k is an integer entering the Chern-Simons action.
Author's Homepage:
http://people.tcd.ie/frolovsDescription:
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Author: FROLOV, SERGEY
Publisher:
Springer VerlagType of material:
Journal ArticleSeries/Report no:
Theoretical Mathematical Physics;113;
1;
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Full text availableKeywords:
Mathematics, Yang-Mills theoryLicences: