Speaker: Gilberto Colangelo (University of Bern)
Title: Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions
Abstract: I will discuss the effects of a finite cubic volume with twisted boundary conditions on pseudoscalar mesons. First by applying chiral perturbation theory in the p-regime to calculate the corrections for masses, decay constants, pseudoscalar coupling constants and form factors at next-to-leading order. I will then derive asymptotic formulae a la Luscher for twisted boundary conditions and show that chiral Ward identities for masses and decay constants are satisfied by the asymptotic formulae in finite volume as a consequence of infinite-volume Ward identities. Finally, by applying asymptotic formulae in combination with chiral perturbation theory I will provide estimates of corrections beyond next-to-leading order for twisted boundary conditions.