Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions

Colangelo, Gilberto; Vaghi, Alessio (2016). Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions. Journal of High Energy Physics, 2016(7) Springer 10.1007/JHEP07(2016)134

[img]
Preview
Text
JHEP07(2016)134.pdf - Published Version
Available under License Creative Commons: Attribution (CC-BY).

Download (1MB) | Preview

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 à la Lüscher 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.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Colangelo, Gilberto and Vaghi, Alessio

Subjects:

500 Science > 530 Physics

ISSN:

1029-8479

Publisher:

Springer

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

26 Aug 2016 13:49

Last Modified:

26 Aug 2016 13:49

Publisher DOI:

10.1007/JHEP07(2016)134

ArXiv ID:

1607.00916

BORIS DOI:

10.7892/boris.86291

URI:

https://boris.unibe.ch/id/eprint/86291

Actions (login required)

Edit item Edit item
Provide Feedback