2015
DOI: 10.1103/physrevd.91.065024
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Decay constants of the pion and its excitations in holographic QCD

Abstract: We investigate the leptonic decay constants of the pion and its excitations with a 5-d holographic model for quantum chromodynamics. We prove numerically that the leptonic decay constants of the excited states of the pion vanish in the chiral limit when chiral symmetry is dynamically broken. This nontrivial result is in agreement with a solid prediction of quantum chromodynamics and is based on a generalized Gell-Mann-Oakes-Renner relationship involving the decay constants and masses of the excited states of t… Show more

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Cited by 25 publications
(25 citation statements)
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References 44 publications
(55 reference statements)
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“…a slice of the full 3D wave function, in the non-relativistic limit. To visualize the full 3D wave function, one may rotate the density plot along the vertical axis at k ⊥ = 0, applying a phase factor exp(im θ) as necessary 7 . To facilitate the visualization in 3D, we also plot the real part of the wave functions in the transverse plane at x = 0.5 in Fig.…”
Section: A Light-front Wave Functionsmentioning
confidence: 99%
“…a slice of the full 3D wave function, in the non-relativistic limit. To visualize the full 3D wave function, one may rotate the density plot along the vertical axis at k ⊥ = 0, applying a phase factor exp(im θ) as necessary 7 . To facilitate the visualization in 3D, we also plot the real part of the wave functions in the transverse plane at x = 0.5 in Fig.…”
Section: A Light-front Wave Functionsmentioning
confidence: 99%
“…As observed in [38], the simplest method for extracting the leptonic decay constants is to replace the fields in the r.h.s of the dual currents prescription, Eqs. (19)- (21), by their Kaluza-Klein expansions in Eqs.…”
Section: Decay Constants Csb and Fsbmentioning
confidence: 99%
“…Moreover, by combining the formalism of Kaluza-Klein expansions and the AdS/CFT dictionary, we are able to directly extract the leptonic decay constants of mesons and find an expansion for the flavor currents that relate flavor symmetry breaking to the appearance of scalar modes. That relation bears a strong analogy with the generalized PCAC (partially conserved axial current relation) [36,37] that relates dynamical chiral symmetry breaking to the appearance of the pion and its resonances [38].…”
Section: Introductionmentioning
confidence: 99%
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“…LF holography have been used to study the structure of hadron properties, such as the hadron mass spectrum, parton distribution functions, meson and baryon form factors etc. [8,30,32,[34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50]. In particular, the formalism was recently applied to the study of the nucleon [51][52][53][54][55][56][57] and Roper [31,32,58] electromagnetic structure.…”
mentioning
confidence: 99%