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We study analytical solutions of charged black holes and thermally charged
AdS with generalized warped factors in Einstein-Maxwell-Dilaton system. We
calculate Euclidean action for charged AdS and thermally charged AdS. The
actions in both backgrounds are regularized by the method of background
subtraction. The study of phase transition between cha...
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Citations
... where θ denotes the hyperscaling violation exponent, z is the dynamical exponent, and d represents the spatial dimension. In such metrics, conformal invariance is directly violated, making it pertinent to investigate the nature of quantum chromodynamics (QCD) [40]. The metric (1) is spatially homogeneous and covariant because it uses the scale transformations, ...
... In this section, we will study the effect of hyperscaling violation and chemical potential on confinement-deconfinement phase transitions in an Einstein-Maxwell dilaton background. We first review the work of [40]. The author of [40] calculates the free energy difference and studies the QCD phase transition with hyperscaling violation. ...
... We first review the work of [40]. The author of [40] calculates the free energy difference and studies the QCD phase transition with hyperscaling violation. The gravity action with a dilaton field is given by [44] ...
In this paper, we study the gravitational waves of holographic QCD phase transition with hyperscaling violation. We consider an Einstein–Maxwell Dilaton background and discuss the confinement–deconfinement phase transition between thermally charged AdS and AdS black holes. We find that hyperscaling violation reduces the phase transition temperature. In a further study, we discuss the effect of hyperscaling violation on the GW spectrum. We found that the hyperscaling violation exponent suppresses the peak frequency of the total GW spectrum. Moreover, the results of the GW spectrum may be detected by IPTA, SKA, BBO, and NANOGrav. We also find that the hyperscaling violation exponent suppresses the peak frequency of the bubble-collision spectrum h2Ωenv. Hyperscaling violation enhances the energy densities of the sound wave spectrum h2Ωsw and the MHD turbulence spectrum h2Ωturb. The total GW spectrum is dominated by the contribution of the bubble collision in runaway bubbles case.
... We plot out the behavior of the critical temperature given in (137) and (138) in Figure 5. In this sense, we could conclude, at least, that investigating the Hawking-Page transition in the D4/D8 model is very suggestive to study the QCD deconfinement transition in holography, which also partly covers the discussion in some bottom-up approaches [87,88]. ...
As a top-down holographic approach, the D4/D8 model is expected to be a holographic version of QCD, since it almost includes all the elementary features of QCD based on string theory. In this manuscript, we review the fundamental properties of the D4/D8 model with respect to the D4-brane background and the embedding of the flavor branes, holographic quark, gluon, meson, baryon and glueball with various symmetries; then, we take a look at some interesting applications and developments based on this model.
... The resulting dual gravity theory allows a new geometric solution called the thermal charged AdS (tcAdS), which is dual to the confining phase of a nuclear medium governed by hadronic spectra [17,18,19]. On this background corresponding a nuclear medium, various meson's and nucleon's spectra have been studied [20,21,22,23,24,25,26,27,28,29,30,31,32]. These quantities are crucially associated with the twopoint correlation function of nucleon and meson [33]. ...
By using the AdS/CFT correspondence, we investigate various form factors between nucleons and mesons in a nuclear medium. In order to describe a nuclear medium holographically, we take into account the thermal charged AdS geometry with an appropriate IR cutoff. After introducing an anomalous dimension as a free parameter, we investigate how the nucleon’s mass is affected by the change of the anomalous dimension. Moreover, we study how the form factors of nucleons rely on the properties of the nuclear medium. We show that in a nuclear medium with different numbers of proton and neutron, the degenerated nucleon form factor in the vacuum is split into four different values depending on the isospin charges of nucleon and meson.
We investigate meson's spectrum, decay constant and form factor in a nuclear medium through holographic two- and three-point correlation functions. To describe a nuclear medium composed of protons and neutrons, we consider a hard wall model on the thermal charged AdS geometry and show that due to the isospin interaction with a nuclear medium, there exist splittings of the meson's spectrum, decay constant and form factor relying on the isospin charge. In addition, we show that the rho-meson's form factor describing an interaction with pseudoscalar fluctuation decreases when the nuclear density increases, while the interaction with a longitudinal part of an axial vector meson increases.
