English

A lattice study of the Faddeev-Niemi effective action

High Energy Physics - Lattice 2015-06-25 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. We generalize the effective action such that it contains all operators built from a unit color vector field n with O(3)-symmetry and maximally four derivatives. To avoid the presence of Goldstone bosons, we include explicit symmetry breaking terms parametrized by an external field h of mass-dimension two. We find a mass gap of the order of 1.5 GeV.

Keywords

Cite

@article{arxiv.hep-lat/0110026,
  title  = {A lattice study of the Faddeev-Niemi effective action},
  author = {L. Dittmann and T. Heinzl and A. Wipf},
  journal= {arXiv preprint arXiv:hep-lat/0110026},
  year   = {2015}
}

Comments

3 pages, 3 figures, Lattice2001(confinement)