Hadron masses: lattice QCD and chiral effective field theory

Abstract

This work discusses reliability, possible obstacles and the future perspective of chiral extrapolation of lattice results. In the first part, chiral perturbation theory fits to lattice calculations of the nucleon mass are thoroughly explored in terms of statistical uncertainty and convergence. Lattice volume dependence is exploited as a source of additional fit constraints. In discussing consistency with pion-nucleon scattering, the role of the Delta(1232) excitation is clarified. In the second part of the work, pion and kaon mass lattice data are analyzed using three-flavor chiral perturbation theory. SU(3)-SU(2) matching conditions permit to examine deviations from the Gell-Mann, Oakes, Renner relation. Introductory chapters provide a quick start guide to manifestly covariant baryon chiral perturbation theory, basic understanding of lattice QCD and a self-contained explanation of the relevant statistical methods.

arXiv comment105 pages, 42 figures, diploma thesis, TU Muenchen, Germany, Dec. 2005

References in corpus (20)

• Chiral Dynamics in Nucleons and Nuclei
• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• The QCD spectrum with three quark flavors
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Pion-nucleon scattering inside the Mandelstam triangle
• The nucleon mass in N_f=2 lattice QCD: finite size effects from chiral perturbation theory
• The static quark potential in three flavor QCD
• Nucleon mass, sigma term and lattice QCD
• Determination of the pion-nucleon coupling constant and scattering lengths
• Nucleon mass: from lattice QCD to the chiral limit
• Quark mass dependence of the nucleon axial-vector coupling constant
• Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass
• Infrared regularization of baryon chiral perturbation theory reformulated
• Light Quark Masses with Overlap Fermions in Quenched QCD
• In Search of the Chiral Regime
• On the absence of fifth-order contributions to the nucleon mass in heavy-baryon chiral perturbation theory
• Finite-Size Effects in Lattice QCD with Dynamical Wilson Fermions
• Low Energy Pion--Nucleon Scattering in the Heavy Baryon and Infrared Schemes
• Pion mass dependence of the nucleon mass in the chiral quark soliton model
• Chiral Quark-Soliton Model