arXiv subjects

T. C. de Aguiar

Publications and source records attributed to T. C. de Aguiar.

2 recordsLinked to original sources

arXiv2009

Stochastic Quantization of Real-Time Thermal Field Theory

We use the stochastic quantization method to obtain the free scalar propagator of a finite temperature field theory formulated in Minkowski spacetime. First we use the Markovian stochastic quantization approach to present the two-point function of the theory. Second, we assume a Langevin equation with a memory kernel and Einstein's relations with colored noise. The convergence of the stochastic processes in the asymptotic limit of the Markov parameter of these Markovian and non-Markovian Langevin equations for a free scalar theory is obtained. Our formalism can be the starting point to discuss systems at finite temperature out of equilibrium.

hep-th↗

arXiv2008

Stochastic Quantization of Scalar Fields in de Sitter Spacetime

We consider the stochastic quantization method for scalar fields defined in a curved manifold. The two-point function associated to a massive self-interacting scalar field is evaluated, up to the first order level in the coupling constant $λ$, for the case of de Sitter Euclidean metric. Its value for the asymptotic limit of the Markov parameter $τ\to\infty$ is exhibited. We discuss in detail the covariant stochastic regularization to render the one-loop two-point function finite in the de Sitter Euclidean metric.

hep-th↗