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Finite volume dependence of the quark-antiquark vacuum expectation value

Bijnens, Johan LU orcid and Ghorbani, Karim LU (2006) In Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics 636(1). p.51-55
Abstract
A general formula is derived for the finite volume dependence of vacuum expectation values analogous to Luscher's formula for the masses. The result involves no integrals over kinematic quantities and depends only on the matrix element between pions at zero momentum transfer thus presenting a new way to calculate the latter, i.e. pion sigma terms. The full order p(6) correction to the vacuum condensate <(q) over barq > is evaluated and compared with the result from the Luscher formula. Due to the size of the p(6) result no conclusion about the accuracy of the Luscher formula can be drawn.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics
volume
636
issue
1
pages
51 - 55
publisher
Elsevier
external identifiers
  • wos:000237201100009
  • scopus:33645963155
ISSN
0370-2693
DOI
10.1016/j.physletb.2006.03.024
language
English
LU publication?
yes
id
a637a084-e1d2-4486-9fb8-0635c39f3de3 (old id 410288)
date added to LUP
2016-04-01 16:16:27
date last changed
2021-05-18 02:58:41
@article{a637a084-e1d2-4486-9fb8-0635c39f3de3,
  abstract     = {A general formula is derived for the finite volume dependence of vacuum expectation values analogous to Luscher's formula for the masses. The result involves no integrals over kinematic quantities and depends only on the matrix element between pions at zero momentum transfer thus presenting a new way to calculate the latter, i.e. pion sigma terms. The full order p(6) correction to the vacuum condensate &lt;(q) over barq &gt; is evaluated and compared with the result from the Luscher formula. Due to the size of the p(6) result no conclusion about the accuracy of the Luscher formula can be drawn.},
  author       = {Bijnens, Johan and Ghorbani, Karim},
  issn         = {0370-2693},
  language     = {eng},
  number       = {1},
  pages        = {51--55},
  publisher    = {Elsevier},
  series       = {Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics},
  title        = {Finite volume dependence of the quark-antiquark vacuum expectation value},
  url          = {http://dx.doi.org/10.1016/j.physletb.2006.03.024},
  doi          = {10.1016/j.physletb.2006.03.024},
  volume       = {636},
  year         = {2006},
}