0000000000741014

AUTHOR

Poul H. Damgaard

showing 3 related works from this author

Finite-size Scaling of Meson Propagators

2001

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.

PhysicsNuclear and High Energy PhysicsFinite volume methodChiral perturbation theoryMesonHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)High Energy Physics::PhenomenologyFOS: Physical sciencesPropagatorFísicaParticle Physics - LatticeCompton wavelengthPionHigh Energy Physics - LatticeQuantum electrodynamicsGauge theoryScaling
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Finite Volume Scaling of Pseudo Nambu-Goldstone Bosons in QCD

2008

We consider chiral perturbation theory in a finite volume and in a mixed regime of quark masses. We take N_l light quarks near the chiral limit, in the so-called epsilon-regime, while the remaining N_h quarks are heavier and in the standard p-regime. We compute in this new mixed regime the finite-size scaling of the light meson correlators in the scalar, pseudoscalar, vector and axial vector channels.Using the replica method, we easily extend our results to the partially quenched theory. With the help of our results, lattice QCD simulations with 2+1 flavors can safely investigate pion physics with very light up and down quark masses even in the region where the pion's correlation length ove…

QuarkQuantum chromodynamicsPhysicsNuclear and High Energy PhysicsParticle physicsChiral perturbation theoryHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)Nuclear TheoryHigh Energy Physics::PhenomenologyFísicaFOS: Physical sciencesDown quarkLattice QCDPseudoscalarPionHigh Energy Physics - LatticeGoldstone bosonHigh Energy Physics::Experiment
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Finite-size scaling of vector and axial current correlators

2002

Using quenched chiral perturbation theory, we compute the long-distance behaviour of two-point functions of flavour non-singlet axial and vector currents in a finite volume, for small quark masses, and at a fixed gauge-field topology. We also present the corresponding predictions for the unquenched theory at fixed topology. These results can in principle be used to measure the low-energy constants of the chiral Lagrangian, from lattice simulations in volumes much smaller than one pion Compton wavelength. We show that quenching has a dramatic effect on the vector correlator, which is argued to vanish to all orders, while the axial correlator appears to be a robust observable only moderately …

QuarkPhysicsNuclear and High Energy PhysicsChiral perturbation theoryFinite volume methodHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)High Energy Physics::PhenomenologyFOS: Physical sciencesFísicaParticle Physics - LatticeObservableCompton wavelengthHigh Energy Physics - LatticePionLattice (order)Quantum electrodynamicsScaling
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