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, Fπ and L10, 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.

Assuming Regge trajectories in holographic QCD: from OPE to Chiral Perturbation Theory / Cappiello, Luigi; D'Ambrosio, Giancarlo; Geynat, David. - In: EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS. - ISSN 1434-6052. - 75:10(2015), pp. 157-160. (Intervento presentato al convegno 50th Rencontres de Moriond on QCD and High Energy Interactions tenutosi a La Thuile, Aosta Valley, Italy nel 21-28 Marzo 2015) [10.1140/epjc/s10052-015-3686-0].

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

CAPPIELLO, LUIGI;
2015

Abstract

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, Fπ and L10, 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.
2015
Assuming Regge trajectories in holographic QCD: from OPE to Chiral Perturbation Theory / Cappiello, Luigi; D'Ambrosio, Giancarlo; Geynat, David. - In: EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS. - ISSN 1434-6052. - 75:10(2015), pp. 157-160. (Intervento presentato al convegno 50th Rencontres de Moriond on QCD and High Energy Interactions tenutosi a La Thuile, Aosta Valley, Italy nel 21-28 Marzo 2015) [10.1140/epjc/s10052-015-3686-0].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/613758
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