Helicity modulus as renormalized coupling in the O(3) sigma-model
High Energy Physics - Lattice
2015-06-25 v2
Abstract
For the family of O(n) invariant nonlinear sigma-models we consider boundary conditions that are periodic up to an O(n) rotation. The helicity modulus is related to the change in free energy under variations of the corresponding angle. It defines a nonperturbative finite volume running coupling similar to the Schr"odinger functional for QCD. For the two-dimensional O(3)-model we investigate this quantity by analytical and numerical techniques. We establish its universal continuum relation to the finite volume massgap coupling at all scales and coupling strengths.
Keywords
Cite
@article{arxiv.hep-lat/0012027,
title = {Helicity modulus as renormalized coupling in the O(3) sigma-model},
author = {Heiko Molke and Ulli Wolff},
journal= {arXiv preprint arXiv:hep-lat/0012027},
year = {2015}
}
Comments
19 pages, 5 figures, strong coupling asymptotics corrected, discussion of continuum limit extended, conclusions unchanged