A New Method for Determining Fπ on the Lattice

Abstract

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

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