Mass dependence of the hairpin vertex in quenched QCD

Details Mass dependence of the hairpin vertex in quenched QCD Mass dependence of the hairpin vertex in quenched QCD

2003-08-11

arxiv.org/abs/hep-lat/0308009v3

Phys.Rev. D69 (2004) 034504

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, 4 figures. Version to appear in Phys. Rev. D. Central result unchanged, but explanation of calculation improved and

Scientific paper

10.1103/PhysRevD.69.034504

The pseudoscalar ``hairpin'' vertex (i.e. quark-disconnected vertex) plays a key role in quenched chiral perturbation theory. Direct calculations using lattice simulations find that it has a significant dependence on quark mass. I show that this mass dependence can be used to determine the quenched Gasser-Leutwyler constant L5. This complements the calculation of L5 using the mass dependence of the axial decay constant of the pion. In an appendix, I discuss power counting for quenched chiral perturbation theory and describe the particular scheme used in this paper.

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