Flavor Twisted Boundary Conditions in the Breit Frame

Abstract

We use a generalization of chiral perturbation theory to account for the effects of flavor twisted boundary conditions in the Breit frame. The relevant framework for two light flavors is an SU(6|4) partially quenched theory, where the extra valence quarks differ only by their boundary conditions. Focusing on the pion electromagnetic form factor, finite volume corrections are calculated at next-to-leading order in the chiral expansion and are estimated to be small on current lattices.

4 pages, 1 figure, discussion and citations altered

References in corpus (14)

• Twisted Boundary Conditions in Lattice Simulations
• Aharonov-Bohm effect and nucleon-nucleon phase shifts on the lattice
• Partially quenched chiral perturbation theory without ${\Phi }_0$
• On the discretization of physical momenta in lattice QCD
• Twisted valence quarks and hadron interactions on the lattice
• Lattice study of semileptonic form factors with twisted boundary conditions
• A Numerical Study of Partially Twisted Boundary Conditions
• Charge Radii of the Meson and Baryon Octets in Quenched and Partially Quenched Chiral Perturbation Theory
• Flavor Twisted Boundary Conditions, Pion Momentum, and the Pion Electromagnetic Form Factor
• Extrapolations of Lattice Meson Form Factors
• Flavor Twisted Boundary Conditions and the Nucleon Axial Current
• Continuous external momenta in non-perturbative lattice simulations: a computation of renormalization factors
• Flavor Twisted Boundary Conditions and Isovector Form Factors
• Meson spectral functions at nonzero momentum in hot QCD

Cited by in corpus (8)

• Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2
• The pion vector form factor from Lattice QCD at the physical point
• Flavor Twisted Boundary Conditions and the Nucleon Vector Current
• Exponential reduction of finite volume effects with twisted boundary conditions
• Finite Volume Effects on the Extraction of Form Factors at Zero Momentum
• The electromagnetic form factor of the pion: Results from the lattice
• Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions
• Investigations of hadron structure on the lattice