Tensor mesons, AdS/QCD and information

Ferreira, Luiz F.; Rocha, Roldão da

doi:10.1140/epjc/s10052-020-7978-7

Cited by 20 publications

(4 citation statements)

References 46 publications

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“…At the junction between several fields [24], it has been used in various forms. For instance, a particular realization of Shannon information entropy that provides an information measure of spatially localized physical configurations has been largely adopted in high energy physics under the name of configuration entropy, and used in connection with entropic measures of nonlinear scalar field models with spatially-localized energy solutions that include solitons and bounces in one spatial dimension and critical bubbles in three spatial dimensions [25], AdS-Schwarzschild black holes [26], the graviton Bose-Einstein condensate [27], the AdS/QCD correspondence [28][29][30][31][32][33][34][35][36][37][38][39][40][41], or also in the analysis of Korteweg-de Vries solitons in the quark-gluon plasma [42]. For applications of Shannon information entropy in other areas of science, including the analysis of heavy-ion collisions, see for instance [43].…”

Section: Jhep03(2023)192mentioning

confidence: 99%

Shannon information entropy, soliton clusters and Bose-Einstein condensation in log gravity

Mvondo-She

2023

J. High Energ. Phys.

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We give a probabilistic interpretation of the configurational partition function of the logarithmic sector of critical cosmological topologically massive gravity, in which the Hurwitz numbers considered in our previous works assume the role of probabilities in a distribution on cycles of permutations. In particular, it is shown that the permutations are distributed according to the Ewens sampling formula which plays a major role in the theory of partition structures and their applications to diffusive processes of fragmentation, and in random trees. This new probabilistic result together with the previously established evidence of solitons in the theory provide new insights on the instability originally observed in the theory. We argue that the unstable propagation of a seed soliton at single particle level induces the generation of fragments of defect soliton clusters with rooted tree configuration at multiparticle level, providing a disordered landscape. The Shannon information entropy of the probability distribution is then introduced as a measure of the evolution of the unstable soliton clusters generated. Finally, based on Feynman’s path integral formalism on permutation symmetry in the λ-transition of liquid helium, we argue that the existence of permutation cycles in the configurational log partition function indicates the presence of Bose-Einstein condensates in log gravity.

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Section: Jhep03(2023)192mentioning

confidence: 99%

Shannon information entropy, soliton clusters and Bose-Einstein condensation in log gravity

Mvondo-She

2023

J. High Energ. Phys.

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“…An important detail of the numerical calculation that is worth noting is that, due to the highly oscillatory behavior of the factor (1−z/z h ) −iω/4πT near z = z h , we do not evaluate the field v in the region z0 < z < z h ,. However, we can evaluate R(z) directly in this region by using the series expansion in (23) and the fact that the coefficients b n of the energy density can be written in terms of the coefficients a n of the field.…”

Section: Energy Densitymentioning

confidence: 99%

Configuration entropy and stability of bottomonium radial excitations in a plasma with magnetic fields

Braga,

Ferreira,

Ferreira

2021

Preprint

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Heavy vector mesons produced in a heavy ion collision are important sources of information about the quark gluon plasma (QGP). For instance, the fraction of bottomonium states observed in a such a collision is altered by the dissociation effect caused by the plasma. So, it is very important to understand how the properties of the plasma, like temperature, density and the presence of background magnetic fields, affect the dissociation of bottomonium in the thermal medium. AdS/QCD holographic models provide a tool for investigating the properties of heavy mesons inside a thermal medium. The meson states are represented by quasinormal modes in a black hole geometry. In this work we calculate the quasinormal modes and the associated complex frequencies for the four lowest levels of radial excitation of bottomonium inside a plasma with a magnetic field background. We also calculate the differential configuration entropy (DCE) for all these states and investigate how the dissociation effect produced by the magnetic field is translated into a dependence of the DCE on the field. An interesting result obtained in this study is that the DCE increases with the radial excitation level. Also, a non trivial finding of this work is that the energy density associated with the bottomonium quasinormal modes present a singularity near the black hole horizon. However, as we show here, it is possible to separate the singular factor and define a square integrable quantity that provides the DCE for the bottomonium states.

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“…It is defined in terms of the modal fraction, which is constructed upon of the Fourier transform of the energy (mass) density, ρ(k), that describes the corresponding physical states. For the black hole and thermal AdS states in the hard wall model, the energy density is a function of the Poincaré coordinate z, according to (30) and (32), so that…”

Section: Configurational Entropy and Hawking-page Transitionmentioning

confidence: 99%

Configuration entropy and confinement/deconfinement transiton in holographic QCD

Braga,

Junqueira

2020

Preprint

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In the holographic AdS/QCD approach, the confinement/deconfinement transition is associated with the Hawking-Page transition of a thermal anti-de Sitter (AdS) space to an AdS black hole.In the case of the hard wall model, the thermal transition takes place in the planar AdS thanks to the introduction of an infrared cut-off in the geometry. The corresponding thermodynamic entropy of the SU (N ) gauge theory jumps from proportional to N 0 in the confined hadronic phase to proportional to N 2 in the plasma phase, corresponding to the presence of the color degrees of freedom. The Hawking-Page transition is understood by considering a semiclassical picture of a system consisting of two different geometries that are asymptotically AdS. One is the AdS black hole and the other the thermal AdS space. The relative stability between these competing geometries varies with the temperature. So, the transition is essentially a problem of stability. An interesting tool to study stability of physical systems is the configuration entropy (CE), inspired in the Shannon informational entropy. In this work we investigate the CE for the case of the AdS/QCD hard wall model at finite temperature. We propose a regularized form for the energy densities of the black hole (BH) and of the thermal AdS geometries that makes it possible to calculate their CEs as a function of the temperature. We find a relation between stability and the value of the CE for the system of asymptotically AdS geometries. Remarkably, it is found that the CE is proportional to log(T ), where T is the temperature. This result makes it possible to write out a simple relation between the configuration and the thermodynamic entropies.

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Tensor mesons, AdS/QCD and information

Cited by 20 publications

References 46 publications

Shannon information entropy, soliton clusters and Bose-Einstein condensation in log gravity

Shannon information entropy, soliton clusters and Bose-Einstein condensation in log gravity

Configuration entropy and stability of bottomonium radial excitations in a plasma with magnetic fields

Configuration entropy and confinement/deconfinement transiton in holographic QCD

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