A note on the practical feasibility of domain-wall fermions

Domain-wall fermions preserve chiral symmetry up to terms that decrease exponentially when the lattice size in the fifth dimension is taken to infinity. The associated rates of convergence are given by the low-lying eigenvalues of a simple local operator in four dimensions. These can be computed usi...

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Detalles Bibliográficos
Autores principales: Hernandez, Pilar, Jansen, Karl, Luscher, Martin
Lenguaje:eng
Publicado: 2000
Materias:
Particle Physics - Lattice
Acceso en línea:http://cds.cern.ch/record/447039
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author Hernandez, Pilar
Jansen, Karl
Luscher, Martin
author_facet Hernandez, Pilar
Jansen, Karl
Luscher, Martin
author_sort Hernandez, Pilar
collection CERN
description Domain-wall fermions preserve chiral symmetry up to terms that decrease exponentially when the lattice size in the fifth dimension is taken to infinity. The associated rates of convergence are given by the low-lying eigenvalues of a simple local operator in four dimensions. These can be computed using the Ritz functional technique and it turns out that the convergence tends to be extremely slow in the range of lattice spacings relevant to large-volume numerical simulations of lattice QCD. Two methods to improve on this situation are discussed.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
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spelling cern-4470392023-03-20T13:40:25Zhttp://cds.cern.ch/record/447039engHernandez, PilarJansen, KarlLuscher, MartinA note on the practical feasibility of domain-wall fermionsParticle Physics - LatticeDomain-wall fermions preserve chiral symmetry up to terms that decrease exponentially when the lattice size in the fifth dimension is taken to infinity. The associated rates of convergence are given by the low-lying eigenvalues of a simple local operator in four dimensions. These can be computed using the Ritz functional technique and it turns out that the convergence tends to be extremely slow in the range of lattice spacings relevant to large-volume numerical simulations of lattice QCD. Two methods to improve on this situation are discussed.Domain-wall fermions preserve chiral symmetry up to terms that decrease exponentially when the lattice size in the fifth dimension is taken to infinity. The associated rates of convergence are given by the low-lying eigenvalues of a simple local operator in four dimensions. These can be computed using the Ritz functional technique and it turns out that the convergence tends to be extremely slow in the range of lattice spacings relevant to large-volume numerical simulations of lattice QCD. Two methods to improve on this situation are discussed.hep-lat/0007015CERN-TH-2000-196IFIC-00-41FTUV-00-0712CERN-TH-2000-196IFIC-2000-41FTUV-2000-712oai:cds.cern.ch:4470392000-07-12
spellingShingle Particle Physics - Lattice
Hernandez, Pilar
Jansen, Karl
Luscher, Martin
A note on the practical feasibility of domain-wall fermions
title A note on the practical feasibility of domain-wall fermions
title_full A note on the practical feasibility of domain-wall fermions
title_fullStr A note on the practical feasibility of domain-wall fermions
title_full_unstemmed A note on the practical feasibility of domain-wall fermions
title_short A note on the practical feasibility of domain-wall fermions
title_sort note on the practical feasibility of domain-wall fermions
topic Particle Physics - Lattice
url http://cds.cern.ch/record/447039
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