Stochastic Quantization of $(λϕ^{4})_d$ Scalar Theory: Generalized Langevin Equation with Memory Kernel
| dc.creator | Menezes, G. | |
| dc.creator | Svaiter, N. F. | |
| dc.date | 2005-11-22 | |
| dc.date.accessioned | 2026-07-07T11:06:21Z | |
| dc.date.available | 2026-07-07T11:06:21Z | |
| dc.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. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0511224 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0511224 | |
| dc.identifier | PhysicaA374:617-630,2007 | |
| dc.identifier | doi:10.1016/j.physa.2006.07.038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/189489 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Stochastic Quantization of $(λϕ^{4})_d$ Scalar Theory: Generalized Langevin Equation with Memory Kernel | |
| dc.type | text |