Flavor Twisted Boundary Conditions and the Nucleon Vector Current

Understand

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.