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

Karapetyan, G. S.

doi:10.1209/0295-5075/129/18002

Cited by 20 publications

(3 citation statements)

References 69 publications

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“…Such a behavior was observed in many different physical systems, such as: compact astrophysical objects [4] and holographic AdS/QCD models [5][6][7][8][9][10]. There are other many interesting applications of configuration entropy in the literature, as for example [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] The purpose of the present letter is to investigate the application of the configuration entropy to a physical system of great interest currently: heavy mesons inside a quark gluon plasma with finite density. The insterest in such a system comes from the quark gluon plasma (QGP).…”

Section: Introductionmentioning

confidence: 87%

Configuration Entropy for Quarkonium in a Finite Density Plasma

Braga,

da Mata

2020

Preprint

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In the recent years many examples appeared in the literature where the configuration entropy (CE), introduced by Gleiser and Stamatopoulos, plays the role of an indicator of stability of physical systems. It was observed that, comparing states of the same system, the lower is the value of the CE, the more stable is the state. In this letter we investigate the behaviour of the CE in a new context. We consider quasi-states of quarkonium (a vector meson made of a heavy quark anti-quark pair) inside a plasma at finite density. It is known that the density increases the dissociation effect for quasi-particles inside a plasma. So, increasing the density of a thermal medium corresponds to reducing the stability of the quasi-particles. In order to investigate how this situation is translated in the Configutation Entropy context, we use a recently developed holographic AdS/QCD model for heavy vector mesons. The quasi-normal modes describing the quasi-states are obtained and the corresponding CE is calculated. We find, for bottomonium and charmonium 1S quasi-states, that the CE increases with the quark density, or quark chemical potential, of the medium. This result shows that the CE works again as an indicator of stability, represented in this case by the dissociation effect associated with the density.

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Section: Introductionmentioning

confidence: 87%

Configuration Entropy for Quarkonium in a Finite Density Plasma

Braga,

da Mata

2020

Preprint

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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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“…Other applications of the CE in QCD and in the standard model can be found in Refs. [17][18][19][20][21][22][23]. Besides, the CE was shown to be an appropriate paradigm to study phase transitions as CE critical points [24][25][26][27][28][29][30][31], including the stability of stellar distributions [32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Tensor mesons, AdS/QCD and information

Ferreira

Rocha

2020

Eur. Phys. J. C

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The Kaluza–Klein tower of higher spin-S tensor meson resonances is here scrutinized in the AdS/QCD hard wall model, encompassing the already established resonances $$\rho (770)$$ρ(770), $$f_2(1270)$$f2(1270), $$\omega _3(1670)$$ω3(1670), $$f_4(2050)$$f4(2050), $$\rho _5(2350)$$ρ5(2350), $$f_6(2510)$$f6(2510) in PDG. A hybrid model employs both information theory and AdS/QCD, where configurational-entropic Regge trajectories, relating the configurational entropy of the tensor mesons family to their S spin, and also to their experimental mass spectra, are derived and analyzed. Therefore, the mass spectra of higher spin-S tensor meson resonances is obtained and compared to the existing data in PDG.

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

Cited by 20 publications

References 69 publications

Configuration Entropy for Quarkonium in a Finite Density Plasma

Configuration Entropy for Quarkonium in a Finite Density Plasma

Configuration entropy and confinement/deconfinement transiton in holographic QCD

Tensor mesons, AdS/QCD and information

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