Physics NotePublished
Stochastic Quantization of Scalar Theory: Generalized Langevin Equation with Memory Kernel
G. Menezes
Publication details
- Authors
- G. Menezes
- Type
- Physics Note
- Status
- Published
- Publication date
- 27/12/2005
- Description
- 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.
- Year
- 2005
- Number
- CBPF-NF-025/05
- Linked to a thesis
- No
- Linked to a grant
- No