Finite temperature effective action and thermalization of perturbations

Details Finite temperature effective action and thermalization of perturbations Finite temperature effective action and thermalization of perturbations

1993-03-16

arxiv.org/abs/hep-ph/9303269v1

Nucl.Phys. B422 (1994) 521-540

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, plain TEX, 7 figures not included, NORDITA 93/22 P

Scientific paper

10.1016/0550-3213(94)90445-6

The effective action is computed for the \lphi--theory at finite temperature for small perturbations about a constant background field, using a generalized tadpole method. We find the complete effective action, including the real and imaginary parts, to all orders in derivatives and to order ${\cal O}(\lambda^2)$. We demonstrate that the high $T$ approximation, where only the zero Matsubara frequency is included, is incorrect for the imaginary part even though it is UV-finite. The solutions of the dispersion relations show that initial perturbations do not necessarily thermalize fast enough to be absent at the onset of phase transition.

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