A lattice study of the Faddeev-Niemi effective action

Details A lattice study of the Faddeev-Niemi effective action A lattice study of the Faddeev-Niemi effective action

2001-10-09

arxiv.org/abs/hep-lat/0110026v1

Nucl.Phys.Proc.Suppl. 106 (2002) 649-651

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 3 figures, Lattice2001(confinement)

Scientific paper

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.

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