Finite Volume Dependence of the Quark-Antiquark Vacuum Expectation Value

Details Finite Volume Dependence of the Quark-Antiquark Vacuum Expectation Value Finite Volume Dependence of the Quark-Antiquark Vacuum Expectation Value

2006-02-15

arxiv.org/abs/hep-lat/0602019v2

Phys.Lett. B636 (2006) 51-55

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, conclusions described in much more detail

Scientific paper

10.1016/j.physletb.2006.03.024

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 $<\bar q q>$ 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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