On Stochastic Quantisation of Supersymmetric Theories

Laurent Baulieu

doi:10.1016/j.physletb.2019.01.048

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arXiv · 1812.03870

On Stochastic Quantisation of Supersymmetric Theories

Laurent Baulieu

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Abstract

We explain how stochastic TQFT supersymmetry can be made compatible with space supersymmetry. Taking the case of N=2 supersymmetric quantum mechanics, (the proof would be the same for the Wess-Zumino model), we determine the kernels that ensure the convergence of the stochastic process toward the standard path integral, under the condition that they are covariant under supersymmetry. They depend on a massive parameter M that can be chosen at will and modifies the course of the stochastic evolution, but the infinite stochastic time limit of the correlation functions is in fact independent on the choice of M.

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Laurent Baulieu. 2018-12-10. On Stochastic Quantisation of Supersymmetric Theories. https://doi.org/10.1016/j.physletb.2019.01.048

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