The Ua(1) Problem On The Lattice With Ginsparg-wilson Fermions

We show how it is possible to give a precise and unambiguous implementation of the Witten--Veneziano formula for the eta' mass on the lattice, which looks like the formal continuum one, if the expression of the topological charge density operator, suggested by fermions obeying the Ginsparg--Wil...

Descripción completa

Detalles Bibliográficos
Autores principales: Giusti, Leonardo, Rossi, G C, Testa, M, Veneziano, Gabriele
Lenguaje:eng
Publicado: 2001
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(02)00093-7
http://cds.cern.ch/record/513515
_version_ 1780897578506780672
author Giusti, Leonardo
Rossi, G C
Testa, M
Veneziano, Gabriele
author_facet Giusti, Leonardo
Rossi, G C
Testa, M
Veneziano, Gabriele
author_sort Giusti, Leonardo
collection CERN
description We show how it is possible to give a precise and unambiguous implementation of the Witten--Veneziano formula for the eta' mass on the lattice, which looks like the formal continuum one, if the expression of the topological charge density operator, suggested by fermions obeying the Ginsparg--Wilson relation, is employed. By using recent numerical results from simulations with overlap fermions in 2 (abelian Schwinger model) and 4 (QCD) dimensions, one obtains values for the mass of the lightest pseudo-scalar flavour-singlet state that agree within errors with theoretical expectations and experimental data, respectively.
id cern-513515
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
record_format invenio
spelling cern-5135152019-09-30T06:29:59Zdoi:10.1016/S0550-3213(02)00093-7http://cds.cern.ch/record/513515engGiusti, LeonardoRossi, G CTesta, MVeneziano, GabrieleThe Ua(1) Problem On The Lattice With Ginsparg-wilson FermionsParticle Physics - LatticeWe show how it is possible to give a precise and unambiguous implementation of the Witten--Veneziano formula for the eta' mass on the lattice, which looks like the formal continuum one, if the expression of the topological charge density operator, suggested by fermions obeying the Ginsparg--Wilson relation, is employed. By using recent numerical results from simulations with overlap fermions in 2 (abelian Schwinger model) and 4 (QCD) dimensions, one obtains values for the mass of the lightest pseudo-scalar flavour-singlet state that agree within errors with theoretical expectations and experimental data, respectively.hep-lat/0108009BU-HEP-2001-07CERN-TH-2001-130ROM-2F-2001-14ROMA-1-1315oai:cds.cern.ch:5135152001-08-07
spellingShingle Particle Physics - Lattice
Giusti, Leonardo
Rossi, G C
Testa, M
Veneziano, Gabriele
The Ua(1) Problem On The Lattice With Ginsparg-wilson Fermions
title The Ua(1) Problem On The Lattice With Ginsparg-wilson Fermions
title_full The Ua(1) Problem On The Lattice With Ginsparg-wilson Fermions
title_fullStr The Ua(1) Problem On The Lattice With Ginsparg-wilson Fermions
title_full_unstemmed The Ua(1) Problem On The Lattice With Ginsparg-wilson Fermions
title_short The Ua(1) Problem On The Lattice With Ginsparg-wilson Fermions
title_sort ua(1) problem on the lattice with ginsparg-wilson fermions
topic Particle Physics - Lattice
url https://dx.doi.org/10.1016/S0550-3213(02)00093-7
http://cds.cern.ch/record/513515
work_keys_str_mv AT giustileonardo theua1problemonthelatticewithginspargwilsonfermions
AT rossigc theua1problemonthelatticewithginspargwilsonfermions
AT testam theua1problemonthelatticewithginspargwilsonfermions
AT venezianogabriele theua1problemonthelatticewithginspargwilsonfermions
AT giustileonardo ua1problemonthelatticewithginspargwilsonfermions
AT rossigc ua1problemonthelatticewithginspargwilsonfermions
AT testam ua1problemonthelatticewithginspargwilsonfermions
AT venezianogabriele ua1problemonthelatticewithginspargwilsonfermions

Ejemplares similares