Abstract
Bulk mesons propagating in chiral and gluon condensates, in a gravity background, are scrutinized in holographic soft wall AdS/QCD models, involving deformed dilatonic backgrounds. The configurational entropy of the $a_1$ axial vector, the $\rho$ vector, and the $f_0$ scalar meson families is then computed. Two types of informational entropic Regge trajectories are then obtained, where the logarithm of the mesons configurational entropy is expressed in terms of both the experimental meson mass spectra and their excitation number as well. Therefore the mass spectra of the next generation of elements in each meson family, besides being predicted as eigenvalues of Schr\"odinger-like equations, are estimated with better accuracy and discussed.
Highlights
The Shannon’s information entropy paradigm resides in encoding information in stochastic processes [1]
The configurational entropy (CE) is a quantity that implements the information entropy as a measure that logarithmically evaluates the number of bits needed to designate the organization of a system
The wave modes and particle excitations that are correlated to critical points of the CE have been shown to be more dominant or abundant among all other modes and, more detectable or observable in nature [7–9]
Summary
The Shannon’s information entropy paradigm resides in encoding information in stochastic processes [1]. The CE comprehends the information compression into the configuration of wave modes in a physical system [2,3]. Physical fields in the AdS5 bulk are dual objects to 4d operators of QCD [13]. Confinement can be implemented either by a Heaviside cutoff in the bulk—the hard wall [14,15]—or by a dilatonic field, which accomplishes a smooth cutoff along the AdS5 bulk—the soft wall model [16,17]. From a phenomenological point of view, the quark-gluon plasma (QGP), the mesonic mass spectra and their Regge trajectories [18,19], and other quantities were derived, using the holographic soft wall AdS/QCD, being precisely corroborated by experimental data [20]. Soft wall AdS/QCD models implement the (chiral) symmetry breaking [21,22] and confinement as well [17,23–25]. Mesonic phenomenology can be allocated into the soft wall AdS/QCD.
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