Informational entropic Regge trajectories of meson families in AdS/QCD

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 a1 axial vector, the ρ vector, and the f0 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 Schrödinger-like equations, are estimated with better accuracy and discussed.

Information versus stability in an anti-de Sitter black hole

“…The smaller is this quantity, the more stable is the system. In the recent years, many different examples appeared in the literature where there is a similar relation between the variation of the configurational entropy and the stability was shown to appear in as diverse systems as compact astrophysical objects [12] and holographic AdS/QCD models [5][6][7][8][9][10]. Many other recent applications of configuration entropy are found in the literature, as for example [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] The basis for the definition of the configuration entropy [1] is the information entropy of Shannon [28] that has the form − n p n log p n ,…”

Pion family in AdS/QCD: The next generation from configurational entropy

“…The analytical expression, as well as the plots of the ξ(z) field can be found in Refs. [17,35]. Let one denotes by π n the functions that describe the pions, and by ϕ n those ones that represent the φ mesons.…”

“…Informational entropic Regge-like trajectories of the a 1 , f 0 and ρ light-flavour mesons were also introduced in Ref. [17], in the context of the CE. In addition, the CE is a sharp tool that can also probe phase transitions, identified to CE critical points, in diverse systems in Physics [18][19][20][21][22][23][24][25][26][27][28][29].…”

Hadron multiplicity calculation: A configurational entropy approach to the saturation scale in QCD

“…The critical points of the CE have already been extensively investigated in QCD and particle physics. In fact, scalar and tensor mesons [3][4][5][6][7][8], glueballs [9], charmonium and bottomonium [10], the quark-gluon plasma [11], barions [12] and several other systems in QCD have been scrutinized [13], using AdS/QCD and information entropy. The CE, founded in Refs.…”