Assuming Regge trajectories in holographic QCD: from OPE to Chiral Perturbation Theory

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The soft wall model in holographic QCD has Regge trajectories but wrong operator product expansion (OPE) for the two-point vectorial QCD Green function. We modify the dilaton potential to comply OPE. We study also the axial two-point function using the same modified dilaton field and an additional s...

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Autores principales: Cappiello, Luigi, D'Ambrosio, Giancarlo, Greynat, David
Lenguaje:eng
Publicado: 2015
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1140/epjc/s10052-015-3686-0
http://cds.cern.ch/record/2014456
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author Cappiello, Luigi
D'Ambrosio, Giancarlo
Greynat, David
author_facet Cappiello, Luigi
D'Ambrosio, Giancarlo
Greynat, David
author_sort Cappiello, Luigi
collection CERN
description The soft wall model in holographic QCD has Regge trajectories but wrong operator product expansion (OPE) for the two-point vectorial QCD Green function. We modify the dilaton potential to comply OPE. We study also the axial two-point function using the same modified dilaton field and an additional scalar field to address chiral symmetry breaking. OPE is recovered adding a boundary term and low energy chiral parameters, $F_\pi$ and $L_{10}$, are well described analytically by the model in terms of Regge spacing and QCD condensates. The model nicely supports and extends previous theoretical analyses advocating Digamma function to study QCD two-point functions in different momentum regions.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2015
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spelling cern-20144562023-03-14T17:43:26Zdoi:10.1140/epjc/s10052-015-3686-0http://cds.cern.ch/record/2014456engCappiello, LuigiD'Ambrosio, GiancarloGreynat, DavidAssuming Regge trajectories in holographic QCD: from OPE to Chiral Perturbation TheoryParticle Physics - PhenomenologyThe soft wall model in holographic QCD has Regge trajectories but wrong operator product expansion (OPE) for the two-point vectorial QCD Green function. We modify the dilaton potential to comply OPE. We study also the axial two-point function using the same modified dilaton field and an additional scalar field to address chiral symmetry breaking. OPE is recovered adding a boundary term and low energy chiral parameters, $F_\pi$ and $L_{10}$, are well described analytically by the model in terms of Regge spacing and QCD condensates. The model nicely supports and extends previous theoretical analyses advocating Digamma function to study QCD two-point functions in different momentum regions.The soft wall model in holographic QCD has Regge trajectories but wrong operator product expansion (OPE) for the two-point vectorial QCD Green function. We modify the dilaton potential to comply with the OPE. We study also the axial two-point function using the same modified dilaton field and an additional scalar field to address chiral symmetry breaking. OPE is recovered adding a boundary term and low energy chiral parameters, $F_\pi $ and $L_{10}$ , are well described analytically by the model in terms of Regge spacing and QCD condensates. The model nicely supports and extends previous theoretical analyses advocating Digamma function to study QCD two-point functions in different momentum regions.The soft wall model in holographic QCD has Regge trajectories but wrong operator product expansion (OPE) for the two-point vectorial QCD Green function. We modify the dilaton potential to comply OPE. We study also the axial two-point function using the same modified dilaton field and an additional scalar field to address chiral symmetry breaking. OPE is recovered adding a boundary term and low energy chiral parameters, $F_\pi$ and $L_{10}$, are well described analytically by the model in terms of Regge spacing and QCD condensates. The model nicely supports and extends previous theoretical analyses advocating Digamma function to study QCD two-point functions in different momentum regions.arXiv:1505.01000CERN-PH-TH-2015-107CERN-PH-TH-2015-107oai:cds.cern.ch:20144562015-05-05
spellingShingle Particle Physics - Phenomenology
Cappiello, Luigi
D'Ambrosio, Giancarlo
Greynat, David
Assuming Regge trajectories in holographic QCD: from OPE to Chiral Perturbation Theory
title Assuming Regge trajectories in holographic QCD: from OPE to Chiral Perturbation Theory
title_full Assuming Regge trajectories in holographic QCD: from OPE to Chiral Perturbation Theory
title_fullStr Assuming Regge trajectories in holographic QCD: from OPE to Chiral Perturbation Theory
title_full_unstemmed Assuming Regge trajectories in holographic QCD: from OPE to Chiral Perturbation Theory
title_short Assuming Regge trajectories in holographic QCD: from OPE to Chiral Perturbation Theory
title_sort assuming regge trajectories in holographic qcd: from ope to chiral perturbation theory
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1140/epjc/s10052-015-3686-0
http://cds.cern.ch/record/2014456
work_keys_str_mv AT cappielloluigi assumingreggetrajectoriesinholographicqcdfromopetochiralperturbationtheory
AT dambrosiogiancarlo assumingreggetrajectoriesinholographicqcdfromopetochiralperturbationtheory
AT greynatdavid assumingreggetrajectoriesinholographicqcdfromopetochiralperturbationtheory

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