2004/12/21 by R. Baier, Baier, R., T. Stockamp +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0412310
11 pages, 2 figures; minor changes, references added
arxiv created 2005/01/31 · arxiv updated 2009/12/01
We use the 2PI effective action of a relativistic scalar field theory to derive kinetic equations for a Bose-condensed system near the phase transition.We start from equations of motion derived within a 1/N-expansion at NLO. In taking the non-relativistic limit we obtain a generalized Gross-Pitaevskii equation for the condensate field. Within the Popov approximation we explicitly compute the collision term up to order g2 using the Kadanoff-Baym formalism. For the sake of self-consistency we derive in the same way a Boltzmann equation for the non-condensate distribution function. The final results are in agreement to those previously obtained by Griffin, Nikuni and Zaremba and by Stoof.