H. Gausterer, ON THE CORRECT CONVERGENCE OF COMPLEX LANGEVIN SIMULATIONS FOR POLYNOMIAL ACTIONS, Journal of physics. A, mathematical and general, 27(4), 1994, pp. 1325-1330
There are problems in physics and particularly in field theory which a
re defined by complex-valued weight functions e(-S) where S is a polyn
omial action S : R(n) --> C. The conditions under which a convergent c
omplex Langevin calculation correctly simulates such integrals are dis
cussed. All conditions on the process which are used to prove proper c
onvergence are defined in the stationary limit.