A New Method for Determining $F_π$ on the Lattice

Details A New Method for Determining $F_π$ on the Lattice A New Method for Determining $F_π$ on the Lattice

2005-08-30

arxiv.org/abs/hep-lat/0508029v1

Phys.Rev. D72 (2005) 091501

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 3 figures

Scientific paper

10.1103/PhysRevD.72.091501

We derive the two-point spectral correlation function of the Dirac operator
with a specific external source in the $\epsilon$-regime of QCD. This
correlation function has a unique and strong dependence on $F_\pi$, and thus
provides an novel way to extract $F_\pi$ from lattice simulations. We test the
method in a quenched lattice simulation with staggered fermions.

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