Parisi-Sourlas Mechanism

A mechanism that is to find an equivalent theory in a (D − 2)-dimensional ordinary space from a Lagrangian living in a superspace having D commuting and 2 anticommuting coordinates in terms of the Osp(D∣2) supersymmetry of the latter. The main relation leading to this mechanism is

where θ₁, θ₂ are anticommuting variables , X and x are commuting D and (D − 2)-dimensional ordinary coordinates. Although this mechanism was introduced in stochastic quantization, it has had applications in many different branches of physics ([2] and references therein) like string field theory and covariant quantization of constraint systems in terms of the BFV-formalism .