Stochastic Quantization of (λϕ4)d Scalar Theory: Generalized Langevin Equation with Memory Kernel

Nota de FísicaPublicado

Stochastic Quantization of $(\lambda\varphi^{4})_d$ Scalar Theory: Generalized Langevin Equation with Memory Kernel

G. Menezes

27/12/2005

Autores: G. Menezes
Tipo: Nota de Física
Estado: Publicado
Fecha de publicación: 27/12/2005
Descripción: We review the method of stochastic quantization for a scalar field theory. We first give a brief survey for the case of self-interacting scalar fields, implementing the stochastic perturbation theory up to the one-loop level. The divergences therein are taken care of by employing the usual prescription of the stochastic regularization, introducing a colored random noise in the Einstein relations. We then extend this formalism to the case where we assume a Langevin equation with a memory kernel. We have shown that, if we also maintain the Einstein's relations with a colored noise, there is convergence to a non-regularized theory.
Año: 2005
Número: CBPF-NF-025/05
Vínculo con tesis: No
Vínculo con beca: No