Does the XY Model have an integrable continuum limit?
High Energy Physics - Lattice
2009-11-07 v3
Abstract
The quantum field theory describing the massive O(2) nonlinear sigma-model is investigated through two non-perturbative constructions: The form factor bootstrap based on integrability and the lattice formulation as the XY model. The S-matrix, the spin and current two-point functions, as well as the 4-point coupling are computed and critically compared in both constructions. On the bootstrap side a new parafermionic super selection sector is found; in the lattice theory a recent prediction for the (logarithmic) decay of lattice artifacts is probed.
Cite
@article{arxiv.hep-lat/0106015,
title = {Does the XY Model have an integrable continuum limit?},
author = {J. Balog and M. Niedermaier and F. Niedermayer and A. Patrascioiu and E. Seiler and P. Weisz},
journal= {arXiv preprint arXiv:hep-lat/0106015},
year = {2009}
}
Comments
69 pages, 18 figures. Equation (3.20) corrected