Preprint
Stochastic quantisation of locally supersymmetric models
Hossein Farajollahi and Hugh Luckock
Abstract
Stochastic quantisation normally involves the introduction of a
fictitious extra time parameter, which is taken to infinity so
that the system evolves to an equilibrium state. In the case of
a locally supersymmetric theory, an interesting new possibility
arises due to the existence of a Nicolai map. In this case it
turns out that no additional time parameter is required, as the
existence of the Nicolai map ensures that the same job can be
done by the existing time parameter after Euclideanisation. This
provides the quantum theory with a natural probabilistic
interpretation, without any reference to the concept of an inner
product or a Hilbert space structure.
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Date:Monday, February 16, 2004 
