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arxiv: hep-lat/0111037 · v1 · submitted 2001-11-21 · ✦ hep-lat · hep-th

Effective Theories of Confinement

classification ✦ hep-lat hep-th
keywords effectivefieldactionconfinementdescribemodelsymmetryterms
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We review some approaches to describe confinement in terms of effective (model) field theories. After a brief discussion of the dual Abelian Higgs model, we concentrate on a lattice analysis of the Faddeev-Niemi effective action conjectured to describe the low-lying excitations of SU(2) gluodynamics. 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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