Heat kernel measure on central extension of current groups in any dimension.
We produce a stochastic regularization of the Poisson-Sigma model of Cattaneo-Felder, which is an analogue regularization of Klauder’s stochastic regularization of the hamiltonian path integral [23] in field theory. We perform also semi-classical limits.
We give a generalization in the non-compact case to various positivity theorems obtained by Malliavin Calculus in the compact case.
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