Abstract
Osterwalder-Schrader positivity is shown to be fulfilled for stochastically quantised lattice gauge theories, spin models and P( phi ) interactions bounded from below. Problems arising in the stochastic quantisation of bottomless P( phi ) models are discussed. A stochastic equation is derived to stabilise the quantum Einstein gravity. It is shown that the stochastic quantisation of the Yang-Mills leads to a well defined semiclassical expansion.
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