Flavor Twisted Boundary Conditions and the Nucleon Axial Current

TL;DR

This paper investigates how flavor twisted boundary conditions in lattice QCD can improve the study of nucleon axial form factors, providing analytical expressions for key quantities like the axial radius and pseudoscalar form factor.

Contribution

It introduces a method using twisted boundary conditions to better analyze nucleon axial properties in lattice QCD simulations.

Findings

Derived expressions for nucleon axial radius and pseudoscalar form factor.

Showed how twisted boundary conditions facilitate momentum transfer studies.

Enhanced understanding of nucleon axial current matrix elements.

Abstract

With twisted boundary conditions on the quark fields, we study nucleon matrix elements of the axial current utilizing twisted heavy baryon chiral perturbation theory. One can explore the momentum transfer dependence of the axial form factors more easily than by using ordinary lattice quantized momenta alone. As examples, we derive expressions for the nucleon axial radius and pseudoscalar form factor.