One-loop analyses of lattice QCD with the overlap Dirac operator

Abstract

We discuss the weak coupling expansion of lattice QCD with the overlap Dirac operator. The Feynman rules for lattice QCD with the overlap Dirac operator are derived and the quark self-energy and vacuum polarization are studied at the one-loop level. We confirm that their divergent parts agree with those in the continuum theory.

19pages, 7figures, latex; added references :final version for publication

References in corpus (2)

• Lambda-parameter of lattice QCD with the overlap-Dirac operator
• Renormalization of lattice gauge theories with massless Ginsparg Wilson fermions

Cited by in corpus (17)

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• Perturbative Renormalization of Weak-Hamiltonian Four-Fermion Operators with Overlap Fermions
• One loop matching coefficients for a variant overlap action--and some of its simpler relatives
• An alternative to domain wall fermions
• Analysis of the DeltaI=1/2 Rule and e'/e with Overlap Fermions
• Exact Chiral Symmetry on the Lattice: QCD Applications
• Chiral Anomaly for a New Class of Lattice Dirac Operators
• Progress using generalized lattice Dirac operators to parametrize the Fixed-Point QCD action
• Perturbative renormalization of the first two moments of non-singlet quark distributions with overlap fermions
• Perturbative Renormalization and Mixing of Quark and Glue Energy-Momentum Tensors on the Lattice
• A Perturbative Study of a General Class of Lattice Dirac Operators
• Lattice chirality, anomaly matching, and more on the (non)decoupling of mirror fermions
• General chiral gauge theories on the lattice
• Renormalisation of one-link quark operators for overlap fermions with Lüscher-Weisz gauge action
• Massive Overlap Fermions on Anisotropic Lattices
• Random Matrix Theory and the Spectra of Overlap Fermions
• CP symmetry and lattice chiral gauge theories