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arXiv · 1905.09290

Analytic Transport from Weak to Strong Coupling in the O(N) model

Paul Romatschke
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Abstract

In this work, a second-order transport coefficient (the curvature-matter coupling $κ$) is calculated exactly for the 3+1d O(N) model at large N for any coupling value. Since the theory is `trivial' in the sense of possessing a Landau pole, the result for $κ$ only is free from cut-off artifacts much below the Landau pole in the effective field theory sense. Nevertheless, this leaves a large range of coupling values where this transport coefficient can be determined non-perturbatively and analytically with little ambiguity. Along with thermodyamic results also calculated in this work, I expect exact large N results to provide good quantitative predictions for N=1 scalar field theory with $ϕ^4$ interaction.

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Paul Romatschke. 2019-11-25. Analytic Transport from Weak to Strong Coupling in the O(N) model. https://doi.org/10.1103/physrevd.100.054029

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