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We derive the two-point spectral correlation function of the Dirac operatorwith a specific external source in the $\epsilon$-regime of QCD. Thiscorrelation function has a unique and strong dependence on $F_\pi$, and thusprovides an novel way to extract $F_\pi$ from lattice simulations. We test themethod in a quenched lattice simulation with staggered fermions.Comment: 5 pages, 3 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

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

New method of determiningFπon the lattice