ON THE CORRECT CONVERGENCE OF COMPLEX LANGEVIN SIMULATIONS FOR POLYNOMIAL ACTIONS

There are problems in physics and particularly in field theory which are defined by complex-valued weight functions e(-S) where S is a polynomial action S : R(n) --> C. The conditions under which a convergent complex Langevin calculation correctly simulates such integrals are discussed. All conditions on the process which are used to prove proper convergence are defined in the stationary limit.