https://doi.org/10.1140/epjc/s10052-015-3686-0
Regular Article - Theoretical Physics
Assuming Regge trajectories in holographic QCD: from OPE to chiral perturbation theory
1
Dipartimento di Fisica, Universitá di Napoli “Federico II”, Via Cintia, 80126, Naples, Italy
2
INFN-Sezione di Napoli, Via Cintia, 80126, Naples, Italy
3
CERN Theory Division, 1211 , Geneva 23, Switzerland
* e-mail: giancarlo.dambrosio@na.infn.it
** e-mail: gdambros@na.infn.it
Received:
10
July
2015
Accepted:
16
September
2015
Published online:
30
September
2015
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, and , 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.
© SIF and Springer-Verlag Berlin Heidelberg, 2015