3.8 Article Proceedings Paper

Schwinger functions, light-quark bound states and sigma terms

Journal

NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
Volume 161, Issue -, Pages 87-94

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysbps.2006.08.010

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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 greater than or similar to 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(++) 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 flavour-dependence of dynamical chiral symmetry breaking.

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