Gluon Saturation and the Froissart Bound: A Simple Approach

Carvalho, F.; Durães, F. O.; Gonçalves, V. P.; Navarra, F. S.

doi:10.1142/s0217732308028417

Cited by 16 publications

(29 citation statements)

References 63 publications

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“…x is the Bjorken variable, with Q 2 0 = 0.3 GeV 2 and x 0 = 0.3 × 10 −4 fixed by the initial condition [9,10]. The saturation exponent λ has been estimated on the base of different approaches for the QCD dynamics, being ≈ 0.3 [16], agreeing the HERA data [17].…”

Section: P-2mentioning

confidence: 72%

“…In the above mentioned model [10], the saturated component is given by the following equation σ sat [18]:…”

Section: P-2mentioning

confidence: 99%

“…In the QCD framework, the total hadronic cross section has been shown to be correctly described by the minijet model, with the inclusion of a window in the p T -spectrum associated to the saturation physics [10]. This model was also successfully used for the dipole-nucleus forward scattering amplitude, which described the onset of the gluon anomalous dimension in the color glass condensate regime [9].…”

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confidence: 99%

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Fine-tuning the Color-Glass Condensate with the nuclear configurational entropy

Karapetyan¹

2017

EPL

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PACS 89.70.Cf -Entropy in information theory PACS 24.85.+p -Quantum chromodynamics in nuclei Abstract -The dipole-nucleus forward scattering amplitude rules the onset of the gluon anomalous dimension, in the Color-Glass Condensate regime. In this model, the onset of quantum regime is here derived as a critical stable point in the nuclear configurational entropy, matching the fitted experimental data in the literature with accuracy of ∼ 1%. It corroborates with the informational entropy paradigm in high energy nuclear physics.Introduction. -In the specific case of high energy nuclear physics, the informational entropy setup has been brought out into a multiplicity of scopes in hadronic processes, in the lattice QCD setup, and in the AdS/QCD correspondence as well [1][2][3][4]. In these contexts, the stability of mesons [1] and the dominance of glueball states [2] were derived, in the context of the configurational entropy. The informational entropy has its roots in the Shannon work of communication theory, measuring the shape complexity of spatially-localized configurations, as the expected value of the information contained in each message, in communication theory. The concept of the informational entropy was refreshed by means of the relative configurational entropy [5][6][7][8], that up to now has relied on the energy density that represents the studied systems. Both denominations, configurational and informational entropy, are currently used throughout the literature and hereupon we also utilize both namings. The informational entropy counts on the Fourier transform of square-integrable, bounded, positiondependent functions. Such rich concept computes the inherent shape complexity related to configurations of physical systems that are spatially-localized. Here we propose the informational entropy as a quite natural tool for the study of cross sections in nuclear physics. In fact, the cross sections are also physically adequate to define the configurational entropy, since they are also spatially-localized, square-integrable, position-dependent bounded functions. There are close parallels between the mathematical expressions for the thermodynamical entropy and the informational entropy. As the information entropy has been calculated for energy densities, the choice of the total reaction

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Section: P-2mentioning

confidence: 72%

“…In the above mentioned model [10], the saturated component is given by the following equation σ sat [18]:…”

Section: P-2mentioning

confidence: 99%

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confidence: 99%

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Fine-tuning the Color-Glass Condensate with the nuclear configurational entropy

Karapetyan¹

2017

EPL

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“…However, to derive this in the context of theories of strong interactions, like QCD, one requires to handle the theory in the non-perturbative regime. As a result, there exist only models and these usually try to incorporate known properties of QCD, the modelling aspect involving assumptions and ansaetze about the non-perturbative regime [4][5][6][7][8][9][10][11]. In fact, analyses of [9,12] in the framework of the Bloch-Nordsiek improved eikonalised mini jet model [13] indicate a direct relationship between the Froissart bound at high energy and the dynamics of ultra soft gluons, i.e., the behaviour of QCD in the far infrared.…”

Section: Introductionmentioning

confidence: 99%

Improvements to the Froissart bound from AdS/CFT

2015

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In this paper we consider the issue of the Froissart bound on the high energy behaviour of total cross sections. This bound, originally derived using principles of analyticity of scattering amplitudes, is seen to be satisfied by all the available experimental data on total hadronic cross sections. At strong coupling, gauge/gravity duality has been used to provide some insights into this behaviour. In this work, we find the subleading terms to the so-derived Froissart bound from AdS/CFT. ..

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“…In the present work, we explore the possibility of Froissart saturation [10] in the self-similarity based model of the proton, as it has attracted attention in the recent literature [11][12][13][14][15][16]. It is well known that in the conventional QCD evolution equations, like the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) [17][18][19] and Balitsky-Fadin-Kuraev-Lipatov (BFKL) approaches [20][21][22][23], this limit is violated; while in the DGLAP approach the small-x gluons grow faster than any power of ln 1 x ≈ ln ð s Q 2 Þ [24], in the BFKL approach it grows as a power of 1…”

Section: Introductionmentioning

confidence: 99%

Self-similarity and the Froissart bound

Jahan

Choudhury

2014

Phys. Rev. D

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The Froissart bound implies that the total cross section (or, equivalently, the structure function) cannot rise faster than the logarithmic growth of $ \ln^{2} \left(\frac{1}{x} \right)$. In this work, we show that such a slow growth is not compatible with the notion of self-similarity. As a result, it calls for the modification of the defining transverse-momentum-dependent parton density function (TMD PDF) of a self-similarity based proton structure function $F_{2} \left(x,Q^{2} \right)$ at small \textit{x}. Using plausible assumptions, we obtain the Froissart saturation condition on this TMD PDF.Comment: 11 pages, 2 figures, 1 tabl

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Gluon Saturation and the Froissart Bound: A Simple Approach

Cited by 16 publications

References 63 publications

Fine-tuning the Color-Glass Condensate with the nuclear configurational entropy

Fine-tuning the Color-Glass Condensate with the nuclear configurational entropy

Improvements to the Froissart bound from AdS/CFT

Self-similarity and the Froissart bound

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