Nucleons Properties at Finite Lattice Spacing in Chiral Perturbation Theory

Abstract

Properties of the proton and neutron are studied in partially-quenched chiral perturbation theory at finite lattice spacing. Masses, magnetic moments, the matrix elements of isovector twist-2 operators and axial-vector currents are examined at the one-loop level in a double expansion in the light-quark masses and the lattice spacing. This work will be useful in extrapolating the results of simulations using Wilson valence and sea quarks, as well as simulations using Wilson sea quarks and Ginsparg-Wilson valence quarks, to the continuum.

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Cited by in corpus (35)

• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Nucleon Masses and Magnetic Moments in a Finite Volume
• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Precision Nucleon Charges and Form Factors Using 2+1-flavor Lattice QCD
• Baryon magnetic moments in the background field method
• Electromagnetic and spin polarisabilities in lattice QCD
• Twist-two matrix elements at finite and infinite volume
• Octet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• Decuplet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• Chiral and Continuum Extrapolation of Partially-Quenched Lattice Results
• Nucleon Electromagnetic Form Factors in the Continuum Limit from 2+1+1-flavor Lattice QCD
• Baryons with Ginsparg-Wilson quarks in a staggered sea
• The masses and axial currents of the doubly charmed baryons
• Universality of Mixed Action Extrapolation Formulae
• Non-perturbative Pion Matrix Element of a twist-2 operator from the Lattice
• Flavour singlet physics in lattice QCD with background fields
• Flavor Twisted Boundary Conditions and the Nucleon Axial Current
• Decuplet baryon masses in covariant baryon chiral perturbation theory
• Chiral perturbation theory at non-zero lattice spacing
• Parton Distribution Functions with Twisted Mass Fermions
• Nucleon and Delta masses in twisted mass chiral perturbation theory
• Unified chiral analysis of the vector meson spectrum from lattice QCD
• Baryon masses at O(a^2) in chiral perturbation theory
• Flavor Twisted Boundary Conditions and the Nucleon Vector Current
• Nucleon structure functions with domain wall fermions
• Chiral Corrections to Hyperon Axial Form Factors
• Baryon chiral perturbation theory with Wilson fermions up to $\mathcal{O}(a^2)$ and discretization effects of latest $n_f=2+1$ LQCD octet baryon masses
• Hadronic Electromagnetic Properties at Finite Lattice Spacing
• Isotropic and Anisotropic Lattice Spacing Corrections for I=2 pi-pi Scattering from Effective Field Theory
• Light-quark mass dependence of the nucleon axial charge and pion-nucleon scattering phenomenology
• Effective Field Theory for the Anisotropic Wilson Lattice Action
• Topics in Effective Field Theory for Lattice QCD
• New lessons from the nucleon mass, lattice QCD and heavy baryon chiral perturbation theory
• Topics in Lattice QCD and Effective Field Theory
• Chiral Perturbation Theory on the Lattice and its Applications