Low-energy couplings of QCD from topological zero-mode wave functions

Abstract

By matching 1/m^2 divergences in finite-volume two-point correlation functions of the scalar or pseudoscalar densities with those obtained in chiral perturbation theory, we derive a relation between the Dirac operator zero-mode eigenfunctions at fixed non-trivial topology and the low-energy constants of QCD. We investigate the feasibility of using this relation to extract the pion decay constant, by computing the zero-mode correlation functions on the lattice in the quenched approximation and comparing them with the corresponding expressions in quenched chiral perturbation theory.

31 pages. v2: references and a small clarification added; published version

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Cited by in corpus (29)

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• Topological susceptibility in the SU(3) gauge theory
• Low-energy couplings of QCD from current correlators near the chiral limit
• Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions
• Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
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