Minkowski Stochastic Quantization of the Vector Field Based on a Langevin Equation with a Kernel Factor
Nobuyuki Komoike, Satoshi Tanaka · Progress of Theoretical Physics · 1990
We define a distribution functional for the complex Gaussian white noise vector in Minkowski space. On the basis of it, we set up a simplified Langevin equation with a kernel factor, and formulate the Minkowski stochastic quantization of the Abelian gauge field. An equilibrium Fokker-Planck distribution and a generating functional are derived explicitly. It is pointed out that introduction of a kernel factor is important to guarantee causality of the propagator.