Finiteness of hot classical scalar field theory and the plasmon damping rate
Abstract
We investigate the renormalizability of the classical φ^{4} theory at finite temperature. We calculate the timedependent twopoint function to two loop order and show that it can be rendered finite by the counterterms of the classical static theory. As an application the classical plasmon damping rate is found to be γ = λ^{2}T^{2}/1536πm. When we use the high temperature expression for m given by dimensional reduction, the rate is found to agree with the quantum mechanical result.
 Publication:

Physics Letters B
 Pub Date:
 February 1997
 DOI:
 10.1016/S03702693(96)016243
 arXiv:
 arXiv:hepph/9610415
 Bibcode:
 1997PhLB..393..395A
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 11 pages, 4 eps figures, minor typographic corrections and two references added