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Transport coefficients from the two particle irreducible effective action Gert Aarts and Jose M. Martinez Resco
 

Summary: Transport coefficients from the two particle irreducible effective action
Gert Aarts and Jose M. MartiŽnez Resco
Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
Received 25 March 2003; published 22 October 2003
We show that the lowest nontrivial truncation of the two-particle irreducible 2PI effective action correctly
determines transport coefficients in a weak coupling or 1/N expansion at leading logarithmic order in several
relativistic field theories. In particular, we consider a single real scalar field with cubic and quartic interactions
in the loop expansion, the O(N) model in the 2PI-1/N expansion, and QED with single and many fermion
fields. Therefore, these truncations will provide a correct description, to leading logarithmic order, of the long
time behavior of these systems, i.e. the approach to equilibrium. This supports the promising results obtained
for the dynamics of quantum fields out of equilibrium using 2PI effective action techniques.
DOI: 10.1103/PhysRevD.68.085009 PACS number s : 11.10.Wx, 05.70.Ln, 52.25.Fi
INTRODUCTION
Recent developments in heavy-ion collisions and cosmol-
ogy have spurred the theoretical understanding of the dy-
namics of quantum fields out of equilibrium. In particular,
the thermalization of quantum fields is a subject of both fun-
damental and practical relevance. For quantum fields far
from equilibrium, promising results have been obtained from
a systematic use of the two-particle irreducible 2PI effec-

  

Source: Aarts, Gert - Department of Physics, University of Wales Swansea

 

Collections: Physics