Flavor Twisted Boundary Conditions and Isovector Form Factors

Abstract

We use vector flavor symmetry to relate form factors of isospin changing operators to isovector form factors. Flavor twisted boundary conditions in lattice QCD thus allow isovector form factors of twist-two operators, e.g, to be computed at continuous values of the momentum transfer. These twisted boundary conditions, moreover, are implemented only in the valence sector. Effects of the finite volume must be addressed to extract isovector moments and radii at zero lattice momentum. As an example, we use chiral perturbation theory to assess the volume effects in extracting the isovector magnetic moment of the nucleon from simulations with twisted boundary conditions.

arXiv comment15pp

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Cited by in corpus (17)

• Hadron structure from lattice quantum chromodynamics
• Extracting Nucleon Magnetic Moments and Electric Polarizabilities from Lattice QCD in Background Electric Fields
• The pion's electromagnetic form factor at small momentum transfer in full lattice QCD
• Hadronic form factors in Lattice QCD at small and vanishing momentum transfer
• K->pi form factors with reduced model dependence
• Flavor Twisted Boundary Conditions, Pion Momentum, and the Pion Electromagnetic Form Factor
• Flavor Twisted Boundary Conditions and the Nucleon Vector Current
• External Momentum, Volume Effects, and the Nucleon Magnetic Moment
• Pion Polarizabilities and Volume Effects in Lattice QCD
• Volume Effects for Pion Two-Point Functions in Constant Electric and Magnetic Fields
• Neutron in a Strong Magnetic Field: Finite Volume Effects
• Exponential reduction of finite volume effects with twisted boundary conditions
• Flavor Twisted Boundary Conditions in the Breit Frame
• Hadron Structure from Lattice QCD
• Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions
• Restless pions: orbifold boundary conditions and noise suppression in lattice QCD
• Investigations of hadron structure on the lattice