Lambda-parameter of lattice QCD with the overlap-Dirac operator

Abstract

We compute the ratio ${\Lambda }_L/{\Lambda }_{\overline{MS}}$ between the scale parameter ${\Lambda }_L$, associated with a lattice formulation of QCD using the overlap-Dirac operator, and ${\Lambda }_{\overline{MS}}$ of the $\overline{\mathrm{MS}}$ renormalization scheme. To this end, the necessary one-loop relation between the lattice coupling $g_0$ and the coupling renormalized in the $\overline{\mathrm{MS}}$ scheme is calculated, using the lattice background field technique.

11 pages, 2 figures

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• Exactly massless quarks on the lattice
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• More about exactly massless quarks on the lattice
• Locality properties of Neuberger's lattice Dirac operator
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• Background field technique and renormalization in lattice gauge theory
• Axial vector current of exact chiral symmetry on the lattice
• The three-loop beta function of SU(N) lattice gauge theories with Wilson fermions
• The axial anomaly of Ginsparg-Wilson fermion
• Minimizing storage in implementations of the overlap lattice-Dirac operator
• The overlap lattice Dirac operator and dynamical fermions
• Renormalization of lattice gauge theories with massless Ginsparg Wilson fermions
• Considerations on Neuberger's operator
• Hadron Masses and Quark Condensate from Overlap Fermions
• Feasibility study of using the overlap-Dirac operator for hadron spectroscopy

Cited by in corpus (21)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Two-flavor QCD simulation with exact chiral symmetry
• Light Quark Masses with Overlap Fermions in Quenched QCD
• Light quark masses, chiral condensate and quark-gluon condensate in quenched lattice QCD with exact chiral symmetry
• Chiral symmetry breaking at large N_c
• The three-loop beta function of SU(N) lattice gauge theories with Wilson fermions
• A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule
• An alternative to domain wall fermions
• One-loop analyses of lattice QCD with the overlap Dirac operator
• Exact Chiral Symmetry on the Lattice: QCD Applications
• Perturbative renormalization of the first two moments of non-singlet quark distributions with overlap fermions
• Classical Limits of Scalar and Tensor Gauge Operators Based on the Overlap Dirac Matrix
• QCD with overlap fermions: Running coupling and the 3-loop beta-function
• The Lattice Free Energy with Overlap Fermions: A Two-Loop Result
• Lambda-parameter of lattice QCD with Symanzik improved gluon actions
• General chiral gauge theories on the lattice
• Perturbative analysis of the Neuberger-Dirac operator in the Schrödinger functional
• Relation between bare lattice coupling and MSbar coupling at one loop with general lattice fermions
• Gauge theories with overlap fermions in an arbitrary representation: Evaluation of the 3-loop beta-function
• CP symmetry and lattice chiral gauge theories
• Construction of lattice Möbius domain wall fermions in the Schrödinger functional scheme