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

Abstract

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 \gsim 1.2 GeV. Modern Dyson-Schwinger equation methods supply a well-constrained tool that provide access to hadron masses and σ-terms. We report values of the latter for a range of hadrons. Of interest is 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 σ-term is defined, which affords a means for assessing the flavour-dependence of dynamical chiral symmetry breaking.

To appear in the proceedings of Workshop on Light-Cone QCD and Nonperturbative Hadron Physics 2005 (LC 2005), Cairns, Queensland, Australia, 7-15 Jul 2005

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Cited by in corpus (33)

• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Explanation and Prediction of Observables using Continuum Strong QCD
• Sketching the Bethe-Salpeter kernel
• Hadron Properties and Dyson-Schwinger Equations
• The pion: an enigma within the Standard Model
• Aspects of Hadron Physics
• Commentary on rainbow-ladder truncation for excited states and exotics
• Perspective on the origin of hadron masses
• Varying the light quark mass: impact on the nuclear force and Big Bang nucleosynthesis
• Flavour symmetry breaking and meson masses
• Enhanced effect of quark mass variation in 229Th and limits from Oklo data
• Chiral susceptibility and the scalar Ward identity
• B- to light-meson transition form factors
• Nucleon tensor charges and electric dipole moments
• Baryon and meson screening masses
• Resolving the Bethe-Salpeter kernel
• Contact-interaction Faddeev equation and, inter alia, proton tensor charges
• Features and flaws of a contact interaction treatment of the kaon
• Schwinger functions and light-quark bound states
• Exploring the light-quark interaction
• Chiral condensate in hadronic matter
• Interplay of dynamical and explicit chiral symmetry breaking effects on a quark
• Bethe-Salpeter kernel and properties of strange-quark mesons
• Leading-twist distribution amplitudes of scalar- and vector-mesons
• Is the $f_0(600)$ meson a dynamically generated resonance? -- a lesson learned from the O(N) model and beyond
• Power Counting Regime of Chiral Effective Field Theory and Beyond
• Current quark mass dependence of nucleon magnetic moments and radii
• Oklo reactors and implications for nuclear science
• Theory and Phenomenology of Hadrons
• Constraints on the Variation of Physical Constants, Equivalence Principle Violation, and a Fifth Force from Atomic Experiments
• The Charm and Beauty of Strong Interactions
• New physics in B_s^0 -> J/ψϕdecays?
• Confinement of Fermions in Tachyon Matter at Finite Temperature