6533b821fe1ef96bd127b85b
RESEARCH PRODUCT
Vector correlator and scale determination in lattice QCD
Fred JegerlehnerAnthony FrancisHarvey B. MeyerGeorg M. Von Hippelsubject
PhysicsParticle physicsIsovectorHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)Lattice field theoryHadronNuclear TheoryFOS: Physical sciencesLattice QCDHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Lattice constantHigh Energy Physics - LatticeLattice (order)Dispersion relationQuantum electrodynamicsLattice model (physics)description
We implement a proposal made in [arXiv:1107.4388] to determine the lattice spacing by matching the lattice vector correlator at a reference distance scale with the same correlator obtained by a dispersion relation based on the $R$-ratio determined experimentally. We work with the isovector current, requiring a separation of the isovector hadronic final states on the phenomenological side. We also discuss the finite-size effect on the correlator, which must be controlled in order for the method to be applicable.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-11-29 |