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

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

2003-12-08

arxiv.org/abs/hep-lat/0312012v2

JHEP 0401 (2004) 003

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1088/1126-6708/2004/01/003

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.

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