Abstract:In earlier work, we introduced a dynamical Einstein-Maxwell-dilaton model which mimics essential features of QCD (thermodynamics) below and above deconfinement. Although there are some subtle differences in the confining regime of our model as compared to the standard results, we do have a temperature dependent dual metric below T c as well, allowing for a richer and more realistic holographic modeling of the QCD phase structure. We now discuss how these features leave their imprints on the associated entangle… Show more
“…We see that there is a small quantitive difference in the right inserts of both plots: the coordinates of the saddle points for µ = 0.2 are z * | ν=1.5 = 0.7146, c| ν=1.5 = 0.4590 and z * | ν=1 = 0.9361, c| ν=1 = 0.1170 (A), and for µ = 0.5 are z * | ν=1.5 = 0.71748, c| ν=1.5 = 0.46135 and z * | ν=1 = 0.8489, c| ν=1 = 0.14450 (B). The multi-valued dependency on z * in holographic models was previously observed in [54]. The authors established a new type of the phase transition associated with the swallow-tail like structure for S HEE as the function of .…”
Section: 42mentioning
confidence: 79%
“…The Wilson loops can also be computed in HQCD. It happens that location of the confinement/deconfinement line in the (µ, T ) plane can be close to the background phase transition [54,61,76], but not necessary fit it. For special models the phase transition of the HEE can be used as an indication of the HQCD phase transition [41,55].…”
“…In particular, in [41] it was proposed to use the HEE as a probe of confinement. The HEE has been extensively studied and applied in the investigation of the phase transitions in various holographic QCD (HQCD) models [42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59].…”
We present new anisotropic black brane solutions in 5D Einstein-dilaton-twoMaxwell system. The anisotropic background is specified by an arbitrary dynamical exponent ν, a nontrivial warp factor, a non-zero dilaton field, a non-zero time component of the first Maxwell field and a non-zero longitudinal magnetic component of the second Maxwell field. The blackening function supports the Van der Waals-like phase transition between small and large black holes for a suitable first Maxwell field charge. The isotropic case corresponding to ν = 1 and zero magnetic field reproduces previously known solutions. We investigate the anisotropy influence on the thermodynamic properties of our background, in particular, on the small/large black holes phase transition diagram.We discuss applications of the model to the bottom-up holographic QCD. The RG flow interpolates between the UV section with two suppressed transversal coordinates and the IR section with the suppressed time and longitudinal coordinates due to anisotropic character of our solution. We study the temporal Wilson loops, extended in longitudinal and transversal directions, by calculating the minimal surfaces of the corresponding probing open string world-sheet in anisotropic backgrounds with various temperatures and chemical potentials. We find that dynamical wall locations depend on the orientation of the quark pairs, that gives a crossover transition line between confinement/deconfinement phases in the dual gauge theory. Instability of the background leads to the appearance of the critical points (µ ϑ,b , T ϑ,b ) depending on the orientation ϑ of quark-antiquark pairs in respect to the heavy ions collision line.
“…We see that there is a small quantitive difference in the right inserts of both plots: the coordinates of the saddle points for µ = 0.2 are z * | ν=1.5 = 0.7146, c| ν=1.5 = 0.4590 and z * | ν=1 = 0.9361, c| ν=1 = 0.1170 (A), and for µ = 0.5 are z * | ν=1.5 = 0.71748, c| ν=1.5 = 0.46135 and z * | ν=1 = 0.8489, c| ν=1 = 0.14450 (B). The multi-valued dependency on z * in holographic models was previously observed in [54]. The authors established a new type of the phase transition associated with the swallow-tail like structure for S HEE as the function of .…”
Section: 42mentioning
confidence: 79%
“…The Wilson loops can also be computed in HQCD. It happens that location of the confinement/deconfinement line in the (µ, T ) plane can be close to the background phase transition [54,61,76], but not necessary fit it. For special models the phase transition of the HEE can be used as an indication of the HQCD phase transition [41,55].…”
“…In particular, in [41] it was proposed to use the HEE as a probe of confinement. The HEE has been extensively studied and applied in the investigation of the phase transitions in various holographic QCD (HQCD) models [42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59].…”
We present new anisotropic black brane solutions in 5D Einstein-dilaton-twoMaxwell system. The anisotropic background is specified by an arbitrary dynamical exponent ν, a nontrivial warp factor, a non-zero dilaton field, a non-zero time component of the first Maxwell field and a non-zero longitudinal magnetic component of the second Maxwell field. The blackening function supports the Van der Waals-like phase transition between small and large black holes for a suitable first Maxwell field charge. The isotropic case corresponding to ν = 1 and zero magnetic field reproduces previously known solutions. We investigate the anisotropy influence on the thermodynamic properties of our background, in particular, on the small/large black holes phase transition diagram.We discuss applications of the model to the bottom-up holographic QCD. The RG flow interpolates between the UV section with two suppressed transversal coordinates and the IR section with the suppressed time and longitudinal coordinates due to anisotropic character of our solution. We study the temporal Wilson loops, extended in longitudinal and transversal directions, by calculating the minimal surfaces of the corresponding probing open string world-sheet in anisotropic backgrounds with various temperatures and chemical potentials. We find that dynamical wall locations depend on the orientation of the quark pairs, that gives a crossover transition line between confinement/deconfinement phases in the dual gauge theory. Instability of the background leads to the appearance of the critical points (µ ϑ,b , T ϑ,b ) depending on the orientation ϑ of quark-antiquark pairs in respect to the heavy ions collision line.
“…The idea of [48] was then applied to many other town-down confining as well as soft wall models of holographic QCD [49][50][51][52][53][54][55][56][57]. Only recently the entanglement entropy computations for the phenomenological bottom-up models, which are somewhat more appropriate to model QCD holographically [58,59], were performed and the results were similar to those reported in [48].…”
Section: Introductionmentioning
confidence: 68%
“…In this section, we briefly describe the EMD gravity model as well as the holographic entanglement entropy and state only the useful expressions, which will be important for our investigation in later sections. The holographic EMD gravity model at finite and zero temperature as well various expressions for the entanglement entropy have been discussed in great detail in [58,80], and we refer the reader to [58,80] for more technical details.…”
In an earlier work, we studied holographic entanglement entropy in QCD phases using a dynamical Einstein-Maxwell-dilaton gravity model whose dual boundary theory mimics essential features of QCD above and below deconfinement. The model although displays subtle differences compared to the standard QCD phases, however, it introduces a notion of temperature in the phase below the deconfinement critical temperature and captures quite well the entanglement and thermodynamic properties of QCD phases. Here we extend our analysis to study the mutual and n-partite information by considering n strips with equal lengths and equal separations, and investigate how these quantities leave their imprints in holographic QCD phases. We discover a rich phase diagram with n ≥ 2 strips and the corresponding mutual and n-partite information shows rich structure, consistent with the thermodynamical transitions, while again revealing some subtleties. Below the deconfinement critical temperature, we find no dependence of the mutual and n-partite information on temperature and chemical potential. * mahapatrasub@nitrkl.ac.in 1 arXiv:1903.05927v2 [hep-th]
We compute holographic entanglement entropy (EE) and the renormalized EE in AdS solitons with gauge potential for various dimensions. The renormalized EE is a cutoff-independent universal component of EE. Via Kaluza-Klein compactification of S1 and considering the low-energy regime, we deduce the (d − 1)-dimensional renormalized EE from the odd-dimensional counterpart. This corresponds to the shrinking circle of AdS solitons, probed at large l. The minimal surface transitions from disk to cylinder dominance as l increases. The quantum phase transition occurs at a critical subregion size, with renormalized EE showing non-monotonic behavior around this size. Across dimensions, massive modes decouple at lower energy, while degrees of freedom with Wilson lines contribute at smaller energy scales.
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