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Shear Viscosity at Infinite Coupling: A Field Theory Calculation

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 نشر من قبل Paul Romatschke
 تاريخ النشر 2021
  مجال البحث فيزياء
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 تأليف Paul Romatschke




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I derive an exact integral expression for the ratio of shear viscosity over entropy density $frac{eta}{s}$ for the massless (critical) O(N) model at large N with quartic interactions. The calculation is set up and performed entirely from the field theory side using a non-perturbative resummation scheme that captures all contributions to leading order in large N. In 2+1d, $frac{eta}{s}$ is evaluated numerically at all values of the coupling. For infinite coupling, I find $frac{eta}{s}simeq 0.42(1)times N$. I show that this strong coupling result for the viscosity is universal for a large class of interacting bosonic O(N) models.



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