Finite volume dependence of the quark-antiquark vacuum expectation value

Johan Bijnens; Karim Ghorbani

doi:10.1016/j.physletb.2006.03.024

Finite volume dependence of the quark-antiquark vacuum expectation value

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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.

Original language	English
Pages (from-to)	51-55
Journal	Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	636
Issue number	1
DOIs	https://doi.org/10.1016/j.physletb.2006.03.024
Publication status	Published - 2006

Subject classification (UKÄ)

Subatomic Physics

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10.1016/j.physletb.2006.03.024

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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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AU - Bijnens, Johan

AU - Ghorbani, Karim

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AB - 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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DO - 10.1016/j.physletb.2006.03.024

M3 - Article

SN - 0370-2693

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JO - Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1

ER -

Finite volume dependence of the quark-antiquark vacuum expectation value

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