Stochastic quantization of real-time thermal field theory

Journal Article · Fri Oct 15 04:00:00 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, Journal Name: Journal of Mathematical Physics Journal Issue: 10 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

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