Effective Theories of Confinement

Details Effective Theories of Confinement Effective Theories of Confinement

2001-11-21

arxiv.org/abs/hep-lat/0111037v1

Nucl.Phys.Proc.Suppl. 108 (2002) 63-67

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 4 figures; talk presented by T.H. at International Light-Cone Workshop "Light-Cone Physics: Particles and Strings", T

Scientific paper

10.1016/S0920-5632(02)01305-1

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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