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
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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) |
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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, 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: |
05 Dec 2022 14:58 |
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 |