Finite-size Scaling of Meson Propagators

Abstract

Using quenched chiral perturbation theory we compute meson correlation functions at finite volume and fixed gauge field topology. We also present the corresponding analytical predictions for the unquenched theory at fixed gauge field topology. These results can be used to measure the low-energy parameters of the chiral Langrangian from lattice simulations in volumes much smaller than one pion Compton wavelength.

arXiv commentA few misprints corrected. Version to appear in NPB

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• Deconfinement in Matrix Models about the Gross--Witten Point
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• Determining F_pi from spectral sum rules
• Chiral Random Matrix Theory and Chiral Perturbation Theory
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• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• Quenched and Unquenched Chiral Perturbation Theory in the ε-Regime
• Finite Volume Chiral Partition Functions and the Replica Method
• Vector and Axial-Vector Propagators in the ε-Regime of QCD
• Simulating chiral quarks in the epsilon-regime of QCD
• Exploring the Aoki regime
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