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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...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
2009
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.22323/1.069.0038 http://cds.cern.ch/record/1174691 |
_version_ | 1780916219324399616 |
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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 |