Progress using generalized lattice Dirac operators to parametrize the Fixed-Point QCD action

Abstract

We report on an ongoing project to parametrize the Fixed-Point Dirac operator for massless quarks, using a very general construction which has arbitrarily many fermion offsets and gauge paths, the complete Clifford algebra and satisfies all required symmetries. Optimizing a specific construction with hypercubic fermion offsets, we present some preliminary results.

Lattice 2000 (Improvement), 9 pages, based on a talk by K.H. and a poster by T.J. References added

References in corpus (3)

• Lattice QCD with the Overlap-Dirac Operator: Its $\Lambda$ Parameter, and One-Loop Renormalization of Fermionic Currents
• One-loop renormalization of fermionic currents with the overlap-Dirac operator
• New approximate solutions of the Ginsparg-Wilson equation - tests in 2-d

Cited by in corpus (12)

• Numerical techniques for lattice QCD in the $\epsilon$--regime
• Testing the fixed-point QCD action and the construction of chiral currents
• Setting the scale for the Luescher-Weisz action
• Short distance current correlators: Comparing lattice simulations to the instanton liquid
• A comprehensive picture of topological excitations in finite temperature lattice QCD
• Convergence Rate and Locality of Improved Overlap Fermions
• Chiral measurements with the Fixed-Point Dirac operator and construction of chiral currents
• Dynamical fermions as a global correction
• First results from a parametrized Fixed-Point QCD action
• Absence of evidence for pentaquarks on the lattice
• Classically Perfect Gauge Actions on Anisotropic Lattices
• Bound states for Overlap and Fixed Point Actions close to the chiral limit