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

Abstract

In this work, a second-order transport coefficient (the curvature-matter coupling $\kappa$) 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 $\kappa$ 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 ${\varphi }^4$ interaction.

6 pages, 2 figures; v2: matches published version; v3: fixed typo in Eq. (6)

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• Spectral sum rules for the quark-gluon plasma
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• Second order equilibrium transport in strongly coupled $\mathcal{N}=4$ supersymmetric $SU(N_c)$ Yang-Mills plasma via holography
• Determining all thermodynamic transport coefficients for an interacting large N quantum field theory
• On the Gravitational Wave to Matter Coupling of Superfluid Fermi Gases Near Unitarity
• Exact $\beta$-function of Yang-Mills theory in 2+1 dimensions
• Gravitational susceptibility of QGP