Effective sigma models and lattice Ward identities
High Energy Physics - Lattice
2009-11-07 v1 High Energy Physics - Theory
Abstract
We perform a lattice analysis of the Faddeev-Niemi effective action conjectured to describe the low-energy sector of SU(2) Yang-Mills theory. To this end we generate an ensemble of unit vector fields ("color spins") n from the Wilson action. The ensemble does not show long-range order but exhibits a mass gap of the order of 1 GeV. From the distribution of color spins we reconstruct approximate effective actions by means of exact lattice Schwinger-Dyson and Ward identities ("inverse Monte Carlo"). We show that the generated ensemble cannot be recovered from a Faddeev-Niemi action, modified in a minimal way by adding an explicit symmetry-breaking term to avoid the appearance of Goldstone modes.
Cite
@article{arxiv.hep-lat/0210021,
title = {Effective sigma models and lattice Ward identities},
author = {Leander Dittmann and Thomas Heinzl and Andreas Wipf},
journal= {arXiv preprint arXiv:hep-lat/0210021},
year = {2009}
}
Comments
25 pages, 17 figures, JHEP style