From OPE to chiral perturbation theory in holographic QCD
1 INFN-Sezione di Napoli, Via Cintia, 80126 Napoli, Italia
2 Dip. di Scienze Fisiche, Universitá di Napoli “Federico II”, Via Cintia, 80126 Napoli, Italia
Published online: 25 November 2016
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.
© The Authors, published by EDP Sciences, 2016
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