Pseudoscalar Mass Spectrum in a Soft-Wall Model of AdS/QCD

Abstract

The Anti-de Sitter Space/Conformal Field Theory (AdS/CFT) correspondence may offer new and useful insights into the non-perturbative regime of strongly coupled gauge theories such as Quantum Chromodynamics (QCD). Recently a modified soft-wall AdS/QCD model incorporated independent sources for explicit and spontaneous chiral symmetry breaking and linear confinement. This model contains a modified dilaton and higher-order interaction terms in the Lagrangian. Within this model we explore the radial pseudoscalar mass spectrum using two different representations of the pion field. We find the mass eigenvalues associated with each representation, show the equivalence between the two, and find good agreement with the pion masses. The Gell-Mann--Oakes--Renner relation is naturally obtained.

Equations corrected, addition explanations added

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