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Shear viscosity in the O(N) model

Gert Aarts1 and Jose M. Martínez Resco1

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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.


Keywords

1/N Expansion

Thermal Field Theory

PACS

11.10.-z Field theory

11.30.Na Nonlinear and dynamical symmetries (spectrum-generating symmetries)

12.38.-t Quantum chromodynamics

Subjects

Particle physics and field theory

Dates

Issue 02 (February 2004)

Received 18 February 2004, accepted for publication 24 February 2004

Published 3 March 2004



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