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Facets of confinement and dynamical chiral symmetry breaking
Authors:P. Maris  A. Raya  C. D. Roberts  S. M. Schmidt
Affiliation:(1) Department of Physics, North Carolina State University, NC 27695-8202 Raleigh, USA;(2) Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Apartado Postal 2-82, Morelia, Michoacán, México;(3) Physics Division, Argonne National Laboratory, IL 60439-4843 Argonne, USA;(4) Fachbereich Physik, Universität Rostock, D-18051 Rostock, Germany;(5) Helmholtz-Gemeinschaft, Ahrstrasse 45, D-53175 Bonn, Germany
Abstract:The gap equation is a cornerstone in understanding dynamical chiral symmetry breaking and may also provide clues to confinement. A symmetry-preserving truncation of its kernel enables proofs of important results and the development of an efficacious phenomenology. We describe a model of the kernel that yields: a momentum-dependent dressed-quark propagator in fair agreement with quenched lattice-QCD results; and chiral limit values, $f_pi^0 = 68 $MeV and $langle bar q q rangle = -(190 {rm MeV})^3$. It is compared with models inferred from studies of the gauge sector.Received: 30 September 2002, Published online: 22 October 2003PACS: 12.38.Aw General properties of QCD (dynamics, confinement, etc.) - 11.30.Rd Chiral symmetries
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