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arXiv · hep-lat/0111037

Effective Theories of Confinement

L. Dittmann·T. Heinzl·A. Wipf
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Abstract

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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L. Dittmann, T. Heinzl, A. Wipf. 2001-11-21. Effective Theories of Confinement. https://doi.org/10.1016/s0920-5632(02)01305-1

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