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Path integral quantization of the Poisson‐Sigma model
Author(s) -
Hirshfeld Allen C.,
Schwarzweller Thomas
Publication year - 2000
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/(sici)1521-3889(200002)9:2<83::aid-andp83>3.0.co;2-s
Subject(s) - path integral formulation , quantization (signal processing) , poisson distribution , sigma model , mathematical physics , physics , sigma , gauge theory , partition function (quantum field theory) , mathematics , quantum mechanics , quantum , statistics , nonlinear system
We apply the antifield quantization method of Batalin and Vilkovisky to the calculation of the path integral for the Poisson‐Sigma model in a general gauge. For a linear Poisson structure the model reduces to a nonabelian gauge theory, and we obtain the formula for the partition function of two‐dimensional Yang‐Mills theory for closed oriented two‐dimensional manifolds.