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

Bijnens, Johan LU orcid and Relefors, Johan LU (2014) In Journal of High Energy Physics
Abstract
Using Chiral Perturbation Theory at one-loop we analyze the consequences of twisted boundary conditions. We point out that due to the broken Lorentz and reflection symmetry a number of unexpected terms show up in the expressions. We explicitly discuss the pseudo-scalar octet masses, axial-vector and pseudo-scalar decay constants and electromagnetic form-factors. We show how the Ward identities are satisfied using the momentum dependent masses and the non-zero vacuum-expectation-values values for the electromagnetic (vector) currents. Explicit expressions at one-loop are provided and an appendix discusses the needed one-loop twisted finite volume integrals.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Lattice QCD, Chiral Lagrangians
in
Journal of High Energy Physics
issue
5
article number
015
publisher
Springer
external identifiers
  • wos:000347846500007
  • scopus:84901453417
ISSN
1029-8479
DOI
10.1007/JHEP05(2014)015
language
English
LU publication?
yes
id
adb72e86-e881-4f3f-b6dc-3a553fcd8709 (old id 5075921)
date added to LUP
2016-04-01 10:56:31
date last changed
2024-01-07 04:46:12
@article{adb72e86-e881-4f3f-b6dc-3a553fcd8709,
  abstract     = {{Using Chiral Perturbation Theory at one-loop we analyze the consequences of twisted boundary conditions. We point out that due to the broken Lorentz and reflection symmetry a number of unexpected terms show up in the expressions. We explicitly discuss the pseudo-scalar octet masses, axial-vector and pseudo-scalar decay constants and electromagnetic form-factors. We show how the Ward identities are satisfied using the momentum dependent masses and the non-zero vacuum-expectation-values values for the electromagnetic (vector) currents. Explicit expressions at one-loop are provided and an appendix discusses the needed one-loop twisted finite volume integrals.}},
  author       = {{Bijnens, Johan and Relefors, Johan}},
  issn         = {{1029-8479}},
  keywords     = {{Lattice QCD; Chiral Lagrangians}},
  language     = {{eng}},
  number       = {{5}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{Masses, decay constants and electromagnetic form-factors with twisted boundary conditions}},
  url          = {{http://dx.doi.org/10.1007/JHEP05(2014)015}},
  doi          = {{10.1007/JHEP05(2014)015}},
  year         = {{2014}},
}