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Shear Viscosity in the O(N) Model

Gert Aarts Orcid Logo, Jose M. Martinez Resco

Journal of High Energy Physics, Volume: "0402", Issue: 02, Pages: 061 - 061

Swansea University Author: Gert Aarts Orcid Logo

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Abstract

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....

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2004
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URI: https://cronfa.swan.ac.uk/Record/cronfa22605
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Abstract: 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.
Item Description: @articleAarts:2004sd, author = "Aarts, Gert and Martinez Resco, Jose M.", title = "Shear viscosity in the O(N) model", journal = "JHEP", volume = "0402", pages = "061", doi = "10.1088/1126-6708/2004/02/061", year = "2004", eprint = "hep-ph/0402192", archivePrefix = "arXiv", primaryClass = "hep-ph", SLACcitation = "%%CITATION = HEP-PH/0402192;%%",
College: Faculty of Science and Engineering
Issue: 02
Start Page: 061
End Page: 061