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Exploring the epsilon regime with lattice Wilson fermions

We study the impact of explicit chiral symmetry breaking of lattice Wilson fermions on mesonic correlators in the epsilon-regime using Wilson chiral perturbation theory. We generalize the epsilon-expansion of continuum chiral perturbation theory to nonzero lattice spacing a and distinguish various r...

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Detalles Bibliográficos
Autores principales: Bar, Oliver, Necco, Silvia, Schaefer, Stefan
Lenguaje:eng
Publicado: 2009
Materias:
Acceso en línea:https://dx.doi.org/10.22323/1.069.0038
http://cds.cern.ch/record/1174691
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author Bar, Oliver
Necco, Silvia
Schaefer, Stefan
author_facet Bar, Oliver
Necco, Silvia
Schaefer, Stefan
author_sort Bar, Oliver
collection CERN
description We study the impact of explicit chiral symmetry breaking of lattice Wilson fermions on mesonic correlators in the epsilon-regime using Wilson chiral perturbation theory. We generalize the epsilon-expansion of continuum chiral perturbation theory to nonzero lattice spacing a and distinguish various regimes. It turnes out that lattice corrections are highly suppressed, as long as quark masses are of the order a\Lambda^2_QCD. The lattice spacing effects become more pronounced for smaller quark masses and may lead to non-trivial corrections of the continuum results at next-to-leading order. We compute these corrections for standard current and density correlation functions. A fit to lattice data shows that these corrections are small, as expected.
id cern-1174691
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2009
record_format invenio
spelling cern-11746912023-03-14T16:40:20Zdoi:10.22323/1.069.0038http://cds.cern.ch/record/1174691engBar, OliverNecco, SilviaSchaefer, StefanExploring the epsilon regime with lattice Wilson fermionsParticle Physics - LatticeWe study the impact of explicit chiral symmetry breaking of lattice Wilson fermions on mesonic correlators in the epsilon-regime using Wilson chiral perturbation theory. We generalize the epsilon-expansion of continuum chiral perturbation theory to nonzero lattice spacing a and distinguish various regimes. It turnes out that lattice corrections are highly suppressed, as long as quark masses are of the order a\Lambda^2_QCD. The lattice spacing effects become more pronounced for smaller quark masses and may lead to non-trivial corrections of the continuum results at next-to-leading order. We compute these corrections for standard current and density correlation functions. A fit to lattice data shows that these corrections are small, as expected.We study the impact of explicit chiral symmetry breaking of lattice Wilson fermions on mesonic correlators in the epsilon-regime using Wilson chiral perturbation theory. We generalize the epsilon-expansion of continuum chiral perturbation theory to nonzero lattice spacing a and distinguish various regimes. It turnes out that lattice corrections are highly suppressed, as long as quark masses are of the order a\Lambda^2_QCD. The lattice spacing effects become more pronounced for smaller quark masses and may lead to non-trivial corrections of the continuum results at next-to-leading order. We compute these corrections for standard current and density correlation functions. A fit to lattice data shows that these corrections are small, as expected.arXiv:0904.4407CERN-PH-TH-2009-052SFB-CPP-09-34HU-EP-09-16CERN-PH-TH-2009-052SFB-CPP-09-34HU-EP-09-16oai:cds.cern.ch:11746912009-04-29
spellingShingle Particle Physics - Lattice
Bar, Oliver
Necco, Silvia
Schaefer, Stefan
Exploring the epsilon regime with lattice Wilson fermions
title Exploring the epsilon regime with lattice Wilson fermions
title_full Exploring the epsilon regime with lattice Wilson fermions
title_fullStr Exploring the epsilon regime with lattice Wilson fermions
title_full_unstemmed Exploring the epsilon regime with lattice Wilson fermions
title_short Exploring the epsilon regime with lattice Wilson fermions
title_sort exploring the epsilon regime with lattice wilson fermions
topic Particle Physics - Lattice
url https://dx.doi.org/10.22323/1.069.0038
http://cds.cern.ch/record/1174691
work_keys_str_mv AT baroliver exploringtheepsilonregimewithlatticewilsonfermions
AT neccosilvia exploringtheepsilonregimewithlatticewilsonfermions
AT schaeferstefan exploringtheepsilonregimewithlatticewilsonfermions