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.
- Publication:
-
Physical Review D
- Pub Date:
- September 2019
- DOI:
- 10.1103/PhysRevD.100.054029
- arXiv:
- arXiv:1905.09290
- Bibcode:
- 2019PhRvD.100e4029R
- Keywords:
-
- High Energy Physics - Theory;
- Condensed Matter - Strongly Correlated Electrons;
- High Energy Physics - Phenomenology;
- Nuclear Theory
- E-Print:
- 6 pages, 2 figures