Perturbative analysis of the Neuberger-Dirac operator in the Schrödinger functional
arXiv:0712.1469 · doi:10.1016/j.nuclphysb.2007.12.020
Abstract
We investigate the spectrum of the free Neuberger-Dirac operator $\Dov$ on the Schrödinger functional (SF). We check that the lowest few eigen-values of the Hermitian operator $\Dov^†\Dov$ in unit of converge to the continuum limit properly. We also perform a one-loop calculation of the SF coupling, and then check the universality and investigate lattice artifacts of the step scaling function. It turns out that the lattice artifacts for the Neuberger-Dirac operator are comparable in those of the clover action.
22 pages 5 figures
References in corpus (27)
- Exactly massless quarks on the lattice
- Chiral symmetry and O(a) improvement in lattice QCD
- The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
- Locality properties of Neuberger's lattice Dirac operator
- A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
- Non-perturbative quark mass renormalization in quenched lattice QCD
- On the Schroedinger functional in QCD
- Lattice QCD without tuning, mixing and current renormalization
- Computation of the strong coupling in QCD with two dynamical flavours
- Numerical techniques for lattice QCD in the --regime
- Non-perturbative quark mass renormalization in two-flavor QCD
- The running coupling from the QCD Schrödinger functional -- a one-loop analysis
- Two Loop Computation of the Schroedinger Functional in Lattice QCD
- Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm
- Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
- Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD
- Heavy Quark Effective Theory computation of the mass of the bottom quark
- The Schrödinger functional in lattice QCD with exact chiral symmetry
- Continuous external momenta in non-perturbative lattice simulations: a computation of renormalization factors
- Lambda-parameter of lattice QCD with the overlap-Dirac operator
- Non-perturbative renormalization of left-left four-fermion operators in quenched lattice QCD
- Universal continuum limit of non-perturbative lattice non-singlet moment evolution
- Schroedinger functional formalism with Ginsparg-Wilson fermion
- The Schrödinger functional running coupling with staggered fermions and its application to many flavor QCD
- Schroedinger functional formalism with domain-wall fermion
- Boundary condition for Staggered Fermion in Lattice Schrödinger Functional of QCD
- Automatic generation of vertices for the Schroedinger functional