Quark mass dependence of baryon properties

Abstract

I discuss the quark mass dependence of various baryon properties derived from chiral perturbation theory. Such representations can eventually be used as chiral extrapolation functions when lattice data at sufficiently small quark masses become available. The quark mass dependence is encoded in loop and contact term contributions, the latter given in terms of low-energy constants. I stress the importance of utilizing phenomenological input to constrain a certain class of low-energy constants and discuss the ensuing theoretical uncertainty for various baryon observables, like the nucleon and the baryon octet masses, the nucleon isovector anomalous magnetic moment and the axial-vector coupling of the nucleon. I stress the role of resonance decoupling and present first results for the delta mass based on an effective field theory in which the nucleon-delta mass splitting is counted as a small parameter. I also discuss briefly the pion mass dependence of the nuclear force as derived from chiral nuclear effective field theory.

21 pp, PoS style, plenary talk at Lattice 2005, Trinity College, Dublin, Irland, 25th-30th July 2005

References in corpus (6)

• Light hadrons with improved staggered quarks: approaching the continuum limit
• Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory
• Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass
• In Search of the Chiral Regime
• Extrapolation of lattice QCD results beyond the power-counting regime
• Pion-delta sigma-term

Cited by in corpus (6)

• The nucleon axial-vector coupling beyond one loop
• Isospin breaking in the pion-nucleon scattering lengths
• Isospin violation in low-energy pion-nucleon scattering revisited
• Sigma exchange in the nuclear force and effective field theory
• The Nuclear Central Force in the Chiral Limit
• Manifestation and Origin of the Isotope Effect