Shear Viscosity in the O(N) Model

Details Shear Viscosity in the O(N) Model Shear Viscosity in the O(N) Model

2004-02-18

arxiv.org/abs/hep-ph/0402192v2

JHEP 0402:061,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

37 pages, few typos corrected; to appear in JHEP

Scientific paper

10.1088/1126-6708/2004/02/061

We compute the shear viscosity in the O(N) model at first nontrivial order in the large N expansion. The calculation is organized using the 1/N expansion of the 2PI effective action (2PI-1/N expansion) to next-to-leading order, which leads to an integral equation summing ladder and bubble diagrams. We also consider the weakly coupled theory for arbitrary N, using the three-loop expansion of the 2PI effective action. In the limit of weak coupling and vanishing mass, we find an approximate analytical solution of the integral equation. For general coupling and mass, the integral equation is solved numerically using a variational approach. The shear viscosity turns out to be close to the result obtained in the weak-coupling analysis.

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