6533b820fe1ef96bd12791e0
RESEARCH PRODUCT
Low-energy couplings of QCD from topological zero-mode wave functions
Leonardo GiustiPilar HernándezPeter WeiszHartmut WittigMikko Lainesubject
Quantum chromodynamicsPhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsZero modeChiral perturbation theoryHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)FísicaFOS: Physical sciencesParticle Physics - LatticeQuenched approximationDirac operatorTopologyPseudoscalarsymbols.namesakelattice QCDHigh Energy Physics - LatticeHigh Energy Physics - Theory (hep-th)nonperturbative effectssymbolschiral lagrangiansPion decay constantWave functiondescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-12-08 |