Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions

Abstract

We study the effects of a finite cubic volume with twisted boundary conditions on pseudoscalar mesons. We first apply chiral perturbation theory in the p-regime and calculate the corrections for masses, decay constants, pseudoscalar coupling constants and form factors at next-to-leading order. We show that the Feynman-Hellmann theorem and the relevant Ward-Takahashi identity are satisfied. We then derive asymptotic formulae a la Luscher for twisted boundary conditions. We 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. Applying asymptotic formulae in combination with chiral perturbation theory we estimate corrections beyond next-to-leading order for twisted boundary conditions.

arXiv comment70 pages, 15 figures

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Cited by in corpus (6)

• Lattice Calculation of Pion Form Factor with Overlap Fermions
• The pion vector form factor from Lattice QCD at the physical point
• Exponential reduction of finite volume effects with twisted boundary conditions
• Symmetries and boundary conditions with a twist
• Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions
• A unified formulation of one-loop tensor integrals for finite volume effects