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New method of determining<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>F</mml:mi><mml:mi>π</mml:mi></mml:msub></mml:math>on the lattice
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 ${F}_{\ensuremath{\pi}}$, and thus provides an novel way to extract ${F}_{\ensuremath{\pi}}$ from lattice simulations. We test the method in …