6533b82ffe1ef96bd1295d5e
RESEARCH PRODUCT
Finite-size scaling of the left-current correlator with non-degenerate quark masses
P. HernándezF. Bernardonisubject
PhysicsQuarkNuclear and High Energy PhysicsParticle physicsHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)Degenerate energy levelsHigh Energy Physics::PhenomenologyFOS: Physical sciencesOrder (ring theory)SigmaFísicaCompton wavelengthLattice QCDHigh Energy Physics - LatticePionEffective field theoryHigh Energy Physics::Experimentdescription
We study the volume dependence of the left-current correlator with non-degenerate quark masses to next-to-leading order in the chiral expansion. We consider three possible regimes: all quark masses are in the $\epsilon$-regime, all are in the $p$-regime and a mixed-regime where the lighest quark masses satisfy $m_v \Sigma V \leq 1$ while the heavier $m_s \Sigma V \gg 1$. These results can be used to match lattice QCD and the Chiral Effective Theory in a large but finite box in which the Compton wavelength of the lightest pions is of the order of the box size. We consider both the full and partially-quenched results.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-07-26 |