Proton structure functions from an AdS/QCD model with a deformed background

Capossoli, Eduardo Folco; Contreras, Miguel Ángel Martín; Li, Danning; Vega, Alfredo; Boschi-Filho, Henrique

doi:10.1103/physrevd.102.086004

Cited by 19 publications

(7 citation statements)

References 68 publications

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“…Such a deformation in the AdS metric was successfully applied within string/gauge duality contexts, as can be seen in Refs. [54,55,[82][83][84][85][86][87][88][89][90][91][92]. If the limits k → 0 and f (z) → 1 are taken, one recovers the AdS spacetime in Poincaré coordinates.…”

Section: Introductionmentioning

confidence: 99%

Fluctuation and dissipation within a deformed holographic model with backreaction

et al. 2021

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In this work we study fluctuations and dissipation of a string in a deformed anti-de Sitter (AdS) space at finite temperature and density. The deformed AdS space is a charged black hole solution of the Einstein-Maxwell-Dilaton action. In this background we take into account the backreaction on the horizon function from an exponential deformation of the AdS space. In this set up, we study the equations of motion of the string from the Nambu-Goto action. The motion of the string endpoint describes holographically the fluctuations and dissipation of a particle moving in a four-dimensional Minkowski space. From this model we compute the admittance and study its behavior against the temperature for some values of the chemical potential. In order to obtain the two-point correlations functions, and the mean square displacement we consider separately the bosonic and fermionic cases with µ < 0 and µ > 0, respectively. From the regularized mean square displacements of the bosonic and fermionic cases we obtain the short and large time approximations. For the short time case we find the usual ballistic regime, and for the long time case we obtain a sub-diffusive regime characteristic of a ultra-slow scaled Brownian motion. Combining the results from the admittance and mean square displacements we also study the fluctuation-dissipation theorem.

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Section: Introductionmentioning

confidence: 99%

Fluctuation and dissipation within a deformed holographic model with backreaction

et al. 2021

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“…Since the appearance of AdS/QCD approach [4,5] in 2005, a great number of various bottom-up holographic models for strongly coupled QCD have been proposed and applied to description of the hadron phenomenology. The number of papers on this subject is enormous, among the most recent developments one can mention the construction of various new models partly describing the hadron spectrum [6][7][8][9][10][11][12][13][14][15][16], hadron structure [17][18][19][20][21][22][23][24][25] including the deep inelastic scattering [16,[26][27][28][29][30], and a very large field of QCD thermodynamics [31][32][33][34][35][36][37][38][39][40][41][42] in which even some elements of information theory can be exploited (see, e.g., the recent Ref. [43] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons

Afonin,

Solomko

2021

Preprint

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We develop a bottom-up holographic theory of linear meson Regge trajectories that generalizes and unites into one logical framework various approaches proposed in the past and scattered in the literature. The starting point of the theory is a quadratic in fields holographic five-dimensional action in which the Poincaré invariance along the holographic coordinate is violated in the most general way compatible with the linear Regge behavior of the discrete spectrum in four dimensions. The linearity of radial spectrum ensures the correct structure of OPE of two-point correlation functions. It is further demonstrated how different Soft Wall (SW) like holographic models existing in the literature plus some new ones emerge from our general setup. Various interrelations between the emerging models are studied. These models include the known SW models with different sign in the exponential background, the SW models with certain generalized backgrounds, with modified metrics, and models with the mass term depending on the holographic coordinate in a simple polynomial way. We argue that this dependence allows to describe the effects caused by the main non-local phenomena of strongly coupled 4D gauge theory -the confinement and spontaneous chiral symmetry breaking -in terms of a local 5D dual field theory in the AdS space. We provide a detailed comparison of our approach with the Light Front holographic QCD, with the spectroscopic predictions of the dual Veneziano like amplitudes, and with the experimental Regge phenomenology. A renormalization recipe is formulated that allows to avoid the problem of unphysical massless pole arising in the vector case in a general situation. The given recipe can be used to predict the intercept of linear radial trajectory related with the ground state mass. We apply our general approach to a holographic study of confinement, chiral symmetry breaking, and the pion form factor.

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“…This and related deformed AdS/QCD models were used successfully in many holographic problems as can be seen in Refs. [16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Fluctuation and dissipation within a deformed holographic model with backreaction

Caldeira,

Capossoli,

Zarro

et al. 2020

Preprint

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In this work we study the fluctuation and dissipation of a string in a deformed and backreated AdS-Schwarschild spacetime. This model is a solution of Einstein-dilaton equations (backreaction) and contains a conformal exponential factor exp(k/r 2 ) (deformation) in the metric. Within this Lorentz invariant holographic model we have computed the admittance (linear response), the diffusion coefficient, the two-point functions and the (regularized) mean square displacement s 2 reg .From this quantity (s 2 reg ) we obtain the diffuse and ballistic regimes characteristic of the Brownian motion. From the two-point functions and the admittance, we also have checked the well know fluctuation-dissipation theorem.

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Proton structure functions from an AdS/QCD model with a deformed background

Cited by 19 publications

References 68 publications

Fluctuation and dissipation within a deformed holographic model with backreaction

Fluctuation and dissipation within a deformed holographic model with backreaction

Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons

Fluctuation and dissipation within a deformed holographic model with backreaction

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