The Schrödinger functional in lattice QCD with exact chiral symmetry

Similarly to the interaction lagrangian, the possible boundary conditions in quantum field theories on space-time manifolds with boundaries are strongly constrained by the symmetry and scaling properties of the theory. Based on this general insight, a lattice formulation of the QCD Schr\"odinge...

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Detalles Bibliográficos
Autor principal: Luscher, Martin
Lenguaje:eng
Publicado: 2006
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2006/05/042
http://cds.cern.ch/record/939343
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author Luscher, Martin
author_facet Luscher, Martin
author_sort Luscher, Martin
collection CERN
description Similarly to the interaction lagrangian, the possible boundary conditions in quantum field theories on space-time manifolds with boundaries are strongly constrained by the symmetry and scaling properties of the theory. Based on this general insight, a lattice formulation of the QCD Schr\"odinger functional is proposed for the case where the lattice Dirac operator in the bulk of the lattice coincides with the Neuberger--Dirac operator. The construction satisfies all basic requirements (locality, symmetries, hermiticity) and is suitable for numerical simulations.
id cern-939343
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2006
record_format invenio
spelling cern-9393432023-03-14T18:11:44Zdoi:10.1088/1126-6708/2006/05/042http://cds.cern.ch/record/939343engLuscher, MartinThe Schrödinger functional in lattice QCD with exact chiral symmetryParticle Physics - LatticeSimilarly to the interaction lagrangian, the possible boundary conditions in quantum field theories on space-time manifolds with boundaries are strongly constrained by the symmetry and scaling properties of the theory. Based on this general insight, a lattice formulation of the QCD Schr\"odinger functional is proposed for the case where the lattice Dirac operator in the bulk of the lattice coincides with the Neuberger--Dirac operator. The construction satisfies all basic requirements (locality, symmetries, hermiticity) and is suitable for numerical simulations.Similarly to the interaction lagrangian, the possible boundary conditions in quantum field theories on space-time manifolds with boundaries are strongly constrained by the symmetry and scaling properties of the theory. Based on this general insight, a lattice formulation of the QCD Schrodinger functional is proposed for the case where the lattice Dirac operator in the bulk of the lattice coincides with the Neuberger--Dirac operator. The construction satisfies all basic requirements (locality, symmetries, hermiticity) and is suitable for numerical simulations.hep-lat/0603029CERN-PH-TH-2006-052CERN-PH-TH-2006-052oai:cds.cern.ch:9393432006-03-30
spellingShingle Particle Physics - Lattice
Luscher, Martin
The Schrödinger functional in lattice QCD with exact chiral symmetry
title The Schrödinger functional in lattice QCD with exact chiral symmetry
title_full The Schrödinger functional in lattice QCD with exact chiral symmetry
title_fullStr The Schrödinger functional in lattice QCD with exact chiral symmetry
title_full_unstemmed The Schrödinger functional in lattice QCD with exact chiral symmetry
title_short The Schrödinger functional in lattice QCD with exact chiral symmetry
title_sort schrödinger functional in lattice qcd with exact chiral symmetry
topic Particle Physics - Lattice
url https://dx.doi.org/10.1088/1126-6708/2006/05/042
http://cds.cern.ch/record/939343
work_keys_str_mv AT luschermartin theschrodingerfunctionalinlatticeqcdwithexactchiralsymmetry
AT luschermartin schrodingerfunctionalinlatticeqcdwithexactchiralsymmetry

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