Masses, decay constants and electromagnetic form-factors with twisted boundary conditions

TL;DR

This paper investigates the impact of twisted boundary conditions on meson properties in finite volume using continuum SU(3) Chiral Perturbation Theory, highlighting symmetry breaking effects and providing one-loop calculations.

Contribution

It presents a detailed analysis of twisted boundary conditions' effects on meson masses, decay constants, and form-factors, including one-loop results and symmetry considerations.

Findings

Broken cubic symmetry affects form-factor definitions

One-loop results for pion mass, decay constants, and form-factor

Ward identities are satisfied in the analysis

Abstract

We discuss some of the effects of twisted boundary conditions in finite volume using continuum SU(3) Chiral Perturbation Theory. We point out how broken cubic symmetry affects the definitions of quantities such as form-factors. Using the $\pi^+$ as an example, we give one loop results for the mass, decay constants and electromagnetic form-factor and illustrate how the relevant Ward identities are satisfied.