Stochastic quantization of real-time thermal field theory

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3492927· OSTI ID:21483627

Aguiar, T C. de; Svaiter, N F ^[1]; Menezes, G ^[2]

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1. Centro Brasileiro de Pesquisas Fisicas (CBPF), Rua Dr. Xavier Sigaud 150, Rio de Janeiro 22290-180, Rio de Janeiro (Brazil)
2. Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz 271, Bloco II, Barra Funda, Sao Paulo 01140-070, Sao Paulo (Brazil)

We use the stochastic quantization method to obtain the free scalar propagator of a finite temperature field theory formulated in the Minkowski space-time. 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 a colored noise. The convergence of the Markovian and non-Markovian stochastic processes in the asymptotic limit of the fictitious time is obtained. Our formalism can be the starting point to discuss systems at finite temperature out of equilibrium.

• OSTI ID: 21483627
• Journal Information: Journal of Mathematical Physics, Vol. 51, Issue 10; Other Information: DOI: 10.1063/1.3492927; (c) 2010 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
CONVERGENCE
DIFFERENTIAL EQUATIONS
EQUILIBRIUM
KERNELS
LANGEVIN EQUATION
MARKOV PROCESS
MINKOWSKI SPACE
PROPAGATOR
QUANTIZATION
QUANTUM FIELD THEORY
SCALARS
SPACE-TIME
EQUATIONS
FIELD THEORIES
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
SPACE
STOCHASTIC PROCESSES