Fluctuation and dissipation within a deformed holographic model with backreaction

Caldeira, Nathan G.; Capossoli, Eduardo Folco; Zarro, Carlos A. D.; Boschi-Filho, Henrique

doi:10.48550/arxiv.2010.15293

Cited by 2 publications

(8 citation statements)

References 19 publications

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“…In Refs. [54,55] and this work, the metric studied contains an exponential conformal factor (deformation) exp(k/r 2 ). However, in [54] neither backreaction or chemical potential were present.…”

Section: Placementmentioning

confidence: 99%

“…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: 98%

“…Making use of this correspondence many works were done in order to study hot dense QGP [19][20][21][22][23][24], considering finite chemical potentials (or some related topics as for instance, QCD phase transition, chiral symmetry breaking, critical exponents, etc. [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]) and quantum or thermal fluctuations such as the Brownian motion [40][41][42][43][44][45][46], fluctuation and dissipation [47][48][49][50][51][52][53][54][55], drag forces [56][57][58][59][60], or related topics [61][62][63][64][65][66].…”

Section: Introductionmentioning

confidence: 99%

“…Regarding the deformation in our AdS-RN spacetime we are considering, it can be understood as the introduction of a conformal exponential factor ζ(z), as a function of the holographic coordinate z, in the metric, written in the following form [33,55,81]:…”

Section: Introductionmentioning

confidence: 99%

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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: Placementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fluctuation and dissipation within a deformed holographic model with backreaction

et al. 2021

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“…Since that time (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 [16][17][18][19][20][21][22][23][24][25][26], hadron structure [27][28][29][30][31][32][33][34][35] including the deep inelastic scattering [26,[36][37][38][39][40], and a very large field of QCD thermodynamics [41][42][43][44][45][46][47][48][49][50][51][52] in which even some elements of information theory can be exploited (see, e.g., the recent Refs. [53,54] and references therein).…”

Section: Introductionmentioning

confidence: 99%

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

Afonin

Solomko

2022

Eur. Phys. J. C

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We advance in constructing a bottom-up holographic theory of linear meson Regge trajectories that generalizes and unites into one logical framework various bottom-up holographic 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. 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 No Wall models with 5D mass 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 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. We apply our general approach to a holographic study of confinement, chiral symmetry breaking, and the pion form factor.

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Fluctuation and dissipation within a deformed holographic model with backreaction

Cited by 2 publications

References 19 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

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