Classical Limit for Scalar Fields at High Temperature

Details Classical Limit for Scalar Fields at High Temperature Classical Limit for Scalar Fields at High Temperature

1997-12-09

arxiv.org/abs/hep-th/9712093v1

Nucl.Phys. B521 (1998) 219-236

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 7 eps figures, Latex

Scientific paper

10.1016/S0550-3213(98)00215-6

We study real-time correlation functions in scalar quantum field theories at temperature $T=1/\beta$. We show that the behaviour of soft, long wavelength modes is determined by classical statistical field theory. The loss of quantum coherence is due to interactions with the soft modes of the thermal bath. The soft modes are separated from the hard modes by an infrared cutoff $\L \ll 1/(\hbar\beta)$. Integrating out the hard modes yields an effective theory for the soft modes. The infrared cutoff $\L$ controls corrections to the classical limit which are $\cO{\hbar\beta\L}$. As an application, the plasmon damping rate is calculated.

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