6533b839fe1ef96bd12a663d
RESEARCH PRODUCT
Finite Volume Scaling of Pseudo Nambu-Goldstone Bosons in QCD
Hidenori FukayaHidenori FukayaFabio BernardoniPilar HernándezPoul H. Damgaardsubject
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::Experimentdescription
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 overcomes the size of the space-time lattice.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-08-14 |