Finite volume dependence of the quark-antiquark vacuum expectation value

Research output: Contribution to journalArticle


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.


Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Subatomic Physics
Original languageEnglish
Pages (from-to)51-55
JournalPhysics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1
Publication statusPublished - 2006
Publication categoryResearch