Effective Theories of Confinement
arXiv:hep-lat/0111037 · doi:10.1016/S0920-5632(02)01305-1
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.
5 pages, 4 figures; talk presented by T.H. at International Light-Cone Workshop "Light-Cone Physics: Particles and Strings", Trento, Italy, September 2001