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 κ) is calculated exactly for the 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 cutoff 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 nonperturbatively 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 φ4 interaction.