Confinement and chiral symmetry breaking via a domainlike mean field

Abstract

Singular gauge fields in the partition function for QCD can lead to a domain-like picture for the QCD vacuum by virtue of constraints on quantum fluctuations at the singularities. With a simple model of hyperspherical domains with interiors of constant field strength we show that the main features of gluon condensation and an area law for static quarks can be realised.The Dirac operator in such a background is exactly soluble. Chirality properties of the solutions show agreement with recent lattice results.

Comments: Contribution to the proceedings of the Workshop on Lattice Hadron Physics, July 9-18 2001, Cairns, Austalia. 5 pages. Elsevier 2 column style file included