---
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.'
author:
- 'Brian C. Tiburzi'
bibliography:
- 'hb.bib'
title: Flavor Twisted Boundary Conditions and Isovector Form Factors
---

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Introduction
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Numerically simulating quantum chromodynamics (QCD) on a spacetime lattice enables the study of hadrons from first principles. Hadronic properties computed from lattice QCD, however, suffer from a number of artifacts due to the approximations involved in solving the theory numerically. These artifacts include volume effects, lattice spacing errors, the use of unphysically large quark masses, and the partially quenched approximation. There has been considerable recent effort to address the reduction 