Stochastic quantization and gauge-fixing of the linearized gravitational field

Due to the indefiniteness of the euclidean gravitational action the Parisi-Wu stochastic quantization scheme fails in the case of the gavitational field. Therefore we apply a recently proposed modification of stochastic quantization that works in Minkowski space and preserves all the advantages of the original Parisi-Wu method; in particular no gauge-fixing is required. Additionally stochastic gauge-fixing may be introduced and is also studied in detail. The graviton propagators obtained with and without stochastic gauge-fixing all exhibit a noncausal contribution, but apart from this effect the gauge-invariant quantities are the same as those of standard quantization.