Supersymmetric field theories and stochastic differential equations
Abstract
We show that some supersymmetric models can be written as classical stochastic equations. We give examples in one and two dimensions, but in four dimensions the only rotationally invariant supersymmetric model we succeed in writing as a classical stochastic equation is the free field theory. We also discuss spontaneous breaking of supersymmetry; we show it is related to the number of solutions of the stochastic equations.
 Publication:

Nuclear Physics B
 Pub Date:
 October 1982
 DOI:
 10.1016/05503213(82)905387
 Bibcode:
 1982NuPhB.206..321P