Ordinary Time Stochastic Quantization of Bosonic String and Its Supersymmetric Effective Action
T. Sakamoto · Progress of Theoretical Physics · 1987
In the method of stochastic quantization proposed by Parisi and Wu, the Langevin equation is set by using an additional fictitious time. The results of the usual quantization _are obtained by taking the infinite limit of the time. For a system with a special class of potential, however, it is also possible to formulate the stochastic quantization based on the Langevin equation associated with the ordinary time. Applying this method, we investigate the stochastic quantization of the open·ends N ambu·Goto string. It is shown that the effective action derived out of the Langevin equation of the string has the form of a supersymmetric string, though the fermionic degrees of freedom are ghost variables.