Interplay between the holographic QCD phase diagram and entanglement entropy

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 entanglement entropy when a strip region is introduced in the various phases. We uncover an even so rich structure in the entanglement entropy, consistent with the thermodynamical transitions, while again uncloaking some subtleties. Thanks to the temperature dependent confining geometry, we can present an original quantitative prediction for the phase diagram in terms of temperature and strip length, reporting a critical end point at the deconfinement temperature. We also generalize to the case with chemical potential. * david.dudal@kuleuven.be † mahapatrasub@nitrkl.ac.in

Holographic anisotropic background with confinement-deconfinement phase transition

“…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 .…”

“…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].…”

Interplay between the holographic QCD phase diagram and mutual & n-partite information

“…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].…”

“…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.…”