Flavor Twisted Boundary Conditions and the Nucleon Axial Current

Abstract

With twisted boundary conditions on the quark fields, we study nucleon matrix elements of the axial current utilizing twisted heavy baryon chiral perturbation theory. One can explore the momentum transfer dependence of the axial form factors more easily than by using ordinary lattice quantized momenta alone. As examples, we derive expressions for the nucleon axial radius and pseudoscalar form factor.

11 pages, Refs. added, sign error corrected

References in corpus (4)

• Twisted Boundary Conditions in Lattice Simulations
• On the discretization of physical momenta in lattice QCD
• Nucleon Properties at Finite Volume: the Epsilon Prime Regime
• Baryon Electromagnetic Properties in Partially Quenched Heavy Hadron Chiral Perturbation Theory

Cited by in corpus (26)

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• Two-Baryon Systems with Twisted Boundary Conditions
• Finite volume corrections to pi-pi scattering
• Quark disconnected diagrams in chiral perturbation theory
• K->pi form factors with reduced model dependence
• The masses and axial currents of the doubly charmed baryons
• Flavor Twisted Boundary Conditions, Pion Momentum, and the Pion Electromagnetic Form Factor
• Time-dependent density functional theory with twist-averaged boundary conditions
• Nuclear Reactions from Lattice QCD
• Hyperon Axial Charges in Two-Flavor Chiral Perturbation Theory
• Quarks with Twisted Boundary Conditions in the Epsilon Regime
• Flavor Twisted Boundary Conditions and Isovector Form Factors
• Flavor Twisted Boundary Conditions and the Nucleon Vector Current
• Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism
• Chiral Corrections and the Axial Charge of the Delta
• Pion Polarizabilities and Volume Effects in Lattice QCD
• Chiral Corrections to Hyperon Axial Form Factors
• Revisiting the pion's scalar form factor in chiral perturbation theory
• Exponential reduction of finite volume effects with twisted boundary conditions
• Flavor Twisted Boundary Conditions in the Breit Frame
• Restless pions: orbifold boundary conditions and noise suppression in lattice QCD
• Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions
• Flavor-twisted boundary condition for simulations of quantum many-body systems