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We present a nonperturbative quantization of the two-dimensional massless gauged Thirring model by using the path-integral approach. First, we will study the constraint structure of model via the Dirac's formalism and by using the Faddeev-Senjanovic method we calculate the vacuum-vacuum transition amplitude in a R ξ -gauge, then we compute the Green's functions in a nonperturbative framework.doi:10.1063/1.3523212 fatcat:elzdcbxmzrgylnlqypipq7vliy