Flavor Twisted Boundary Conditions and the Nucleon Vector Current

Abstract

Using flavor twisted boundary conditions, we study nucleon matrix elements of the vector current. We twist only the active quarks that couple to the current. Finite volume corrections due to twisted boundary conditions are determined using partially twisted, partially quenched, heavy baryon chiral perturbation theory, which we develop for the graded group SU(7|5). Asymptotically these corrections are exponentially small in the volume, but can become pronounced for small twist angles. Utilizing the Breit frame does not mitigate volume corrections to nucleon vector current matrix elements. The derived expressions will allow for better controlled extractions of the isovector magnetic moment and the electromagnetic radii from simulations at zero lattice momentum. Our formalism, moreover, can be applied to any nucleon matrix elements.

32 pages, 7 figures

References in corpus (5)

• Flavor Twisted Boundary Conditions, Pion Momentum, and the Pion Electromagnetic Form Factor
• Flavor Twisted Boundary Conditions and Isovector Form Factors
• External Momentum, Volume Effects, and the Nucleon Magnetic Moment
• Meson spectral functions at nonzero momentum in hot QCD
• Flavor Twisted Boundary Conditions in the Breit Frame

Cited by in corpus (19)

• Nucleon form factors with 2+1 flavor dynamical domain-wall fermions
• Two-Baryon Systems with Twisted Boundary Conditions
• Computing the nucleon charge and axial radii directly at $Q^2=0$ in lattice QCD
• K->pi form factors with reduced model dependence
• Chiral extrapolations for nucleon electric charge radii
• Nuclear Reactions from Lattice QCD
• Form factors in lattice QCD
• Volume Effects for Pion Two-Point Functions in Constant Electric and Magnetic Fields
• Finite-volume corrections to the CP-odd nucleon matrix elements of the electromagnetic current from the QCD vacuum angle
• Connected Parts of Decuplet Electromagnetic Properties
• Exponential reduction of finite volume effects with twisted boundary conditions
• Finite Volume Effects on the Extraction of Form Factors at Zero Momentum
• Finite-volume corrections to charge radii
• Chiral extrapolation and finite-volume dependence of the hyperon vector couplings
• Hadron Structure from Lattice QCD
• Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions
• Kl3 and pion form factors using partially twisted boundary conditions
• Investigations of hadron structure on the lattice
• Formal Developments for Lattice QCD with Applications to Hadronic Systems