Stochastic quantization approach to disordered fermions

The method of the stochastic quantization is applied to an electron system described by the random Hubbard model. Two different stochastic calculi are performed corresponding to Euclidean and non‐Euclidean versions of the quantum field theory in terms of Grassmann variables. In averaging over the quenched disorder a nontrivial normalization denominator can be avoided. An averaged, effective two‐time action is given as basis for treating localization.