A New Method for Determining F_π on the Lattice
classification
✦ hep-lat
hep-th
keywords
latticecorrelationfunctionmethoddependencederivedeterminingdirac
read the original abstract
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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