Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-11-11
Phys.Rev. D50 (1994) 2441-2455
Physics
High Energy Physics
High Energy Physics - Phenomenology
30 pages, LaTex (uses RevTex 3.0), DART-HEP-93/06
Scientific paper
10.1103/PhysRevD.50.2441
We examine the nonequilibrium dynamics of a self-interacting $\lambda\phi^4$ scalar field theory. Using a real time formulation of finite temperature field theory we derive, up to two loops and $O(\lambda^2)$, the effective equation of motion describing the approach to equilibrium. We present a detailed analysis of the approximations used in order to obtain a Langevin-like equation of motion, in which the noise and dissipation terms associated with quantum fluctuations obey a fluctuation-dissipation relation. We show that, in general, the noise is colored (time-dependent) and multiplicative (couples nonlinearly to the field), even though it is still Gaussian distributed. The noise becomes white in the infinite temperature limit. We also address the effect of couplings to other fields, which we assume play the r\^ole of the thermal bath, in the effective equation of motion for $\phi$. In particular, we obtain the fluctuation and noise terms due to a quadratic coupling to another scalar field.
Gleiser Marcelo
Ramos Rudnei O.
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