Schwinger functions and light-quark bound states, and sigma terms.

Conference · Sun Jan 01 04:00:00 EST 2006 · Nucl. Phys. B (Proc. Suppl.)

DOI:https://doi.org/10.1016/j.nuclphysbps.2006.08.010· OSTI ID:948434

Hoell, A; Maris, P; Roberts, C D; Wright, S V

We explore the viability of using solely spacelike information about a Schwinger function to extract properties of bound states. In a concrete example it is not possible to determine properties of states with masses {approx}> 1.2 GeV. Modern Dyson-Schwinger equation methods supply a well-constrained tool that provides access to hadron masses and {sigma}-terms. We report values of the latter for a range of hadrons. Of interest is an analysis relating to a u,d scalar meson, which is compatible with a picture of the lightest 0{sup ++} as a bound state of a dressed-quark and -antiquark supplemented by a material pion cloud. A constituent-quark {sigma}-term is defined, which affords a means for assessing the flavor-dependence of dynamical chiral symmetry breaking.

• Research Organization: Argonne National Laboratory (ANL)
• Sponsoring Organization: SC; NSF; FOR
• DOE Contract Number: AC02-06CH11357
• OSTI ID: 948434
• Report Number(s): ANL/PHY/CP-117665
• Conference Information: Journal Name: Nucl. Phys. B (Proc. Suppl.) Journal Issue: 2006 Journal Volume: 161
• Country of Publication: United States
• Language: ENGLISH

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AVAILABILITY
BOUND STATE
CHIRAL SYMMETRY
CONCRETES
HADRONS
LIGHT CONE
PHYSICS
PIONS
QUANTUM CHROMODYNAMICS
SCALAR MESONS
SIGMA TERMS
VIABILITY