Aspects of quark mass generation on a torus

Abstract

In this talk we report on recent results for the quark propagator on a compact manifold. The corresponding Dyson-Schwinger equations on a torus are solved on volumes similar to the ones used in lattice calculations. The quark-gluon interaction is fixed such that the lattice results are reproduced. We discuss both the effects in the infinite volume/continuum limit as well as effects when the volume is small.

3 pages, 3 figures; talk given by CF at QNP06, Madrid, June 2006

References in corpus (9)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Infrared Properties of QCD from Dyson-Schwinger equations
• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• Analysis of a quenched lattice-QCD dressed-quark propagator
• Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories
• The Elusiveness of Infrared Critical Exponents in Landau Gauge Yang--Mills Theories
• Lattice quark propagator with staggered quarks in Landau and Laplacian gauges
• Finite volume effects in a quenched lattice-QCD quark propagator
• Quark propagator in Landau and Laplacian gauges with overlap fermions

Cited by in corpus (7)

• Hadronic unquenching effects in the quark propagator
• Beyond the rainbow: effects from pion back-coupling
• A covariant view on the nucleons' quark core
• Volume behaviour of quark condensate, pion mass and decay constant from Dyson-Schwinger equations
• Finite volume effects and dynamical chiral symmetry breaking in QED3
• Effects of Anisotropy in QED3 from Dyson-Schwinger equations in a box
• Critical scaling of finite temperature QED_3 in anisotropic space-time