The construction of generalized Dirac operators on the lattice
arXiv:hep-lat/0003013 · doi:10.1142/S0129183101001882
Abstract
We discuss the steps to construct Dirac operators which have arbitrary fermion offsets, gauge paths, a general structure in Dirac space and satisfy the basic symmetries (gauge symmetry, hermiticity condition, charge conjugation, hypercubic rotations and reflections) on the lattice. We give an extensive set of examples and offer help to add further structures.
19 pages, latex, maple code attached
References in corpus (8)
- Exactly massless quarks on the lattice
- A Method for Simulating Chiral Fermions on the Lattice
- Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
- The index theorem in QCD with a finite cut-off
- Chiral Fermions on the Lattice
- Abelian chiral gauge theories on the lattice with exact gauge invariance
- Perfect Lattice Actions for Quarks and Gluons
- Ginsparg-Wilson Fermions: A study in the Schwinger Model
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- A comprehensive picture of topological excitations in finite temperature lattice QCD
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- Chiral measurements with the Fixed-Point Dirac operator and construction of chiral currents
- Comparing lattice Dirac operators in smooth instanton backgrounds
- Quenched QCD with fixed-point and chirally improved fermion
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- Recent results from systematic parameterizations of Ginsparg-Wilson fermions
- First results from a parametrized Fixed-Point QCD action
- Domain decomposition improvement of quark propagator estimation
- New results on cut-off effects in spectroscopy with the fixed point action
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