Note on holographic subregion complexity and QCD phase transition

Abstract

Using holographic subregion complexity, we study the confinement-deconfinement phase transition of quantum chromodynamics. In the model we consider here, we observe a connection between the potential energy of probe meson and the behavior of its complexity. Moreover, near the critical point, at which the phase transition takes place, our numerical calculations indicate that we need less information to specify a meson in the non-conformal vacuum than in the conformal one, despite the fact that the non-conformal vacuum has larger energy! * s − lezgi@sbu.ac.ir † m − aliakbari@sbu.ac.ir

Note on stability and holographic subregion complexity

“…We have no argument to justify it at this point, but we guess it might be related to the screening effect. In the sense that the effects of anisotropy causes a stronger screening in the perpendicular direction and thus we need less information to specify the state in this case, in agreement with [21].…”

“…Inspired by the Hubney-Ryu-Takayanagi proposal, the CV proposal extends to be defined on subregions corresponding to the complexity of mixed states, which is known as holographic subregion complexity (HSC), in which the complexity of a subsystem on the boundary equals the volume of codimensional-one hypersurface enclosed by Hubney-Ryu-Takayanagi surface [11]. There are a lot of works on CV, CA and HSC for various gravity models in the literature [12][13][14][15][16][17][18][19][20][21][22][23][24].…”

Determination of the entanglement entropy in elastic scattering using model-independent method for hadron femtoscopy

“…As a final comment, there have been strong efforts to investigate the relation between the entanglement entropy and the properties of the holographic QCD models [39][40][41][42][43]. Namely, in the AdS/QCD correspondence the holographic duality [44] of entanglement entropy between boundary region A and its complement is the holographic entanglement entropy (HEE), S h A , which is obtained by using the Ryu-Takayanagi relation [45,46].…”

“…In summary, the present study carefully investigates the entanglement entropy in soft scattering processes using systematic and model independent tools which are helpful to single out the main aspects of the entangled final state. The knowledge about entanglement described in a non-perturbative sector of QCD is deeply related to the holographic entanglement entropy in the context of holographic models of QCD [39][40][41][42][43]. These models based on AdS/QCD duality are shown to be promising as they are able to describe the main observable as total and elastic cross sections [47,48] and heavy-ions observables as well [50,51].…”

On volume subregion complexity in non-conformal theories

“…The linear growth of complexity in a thermalizing system is then holographically dual to the linear growth of the wormhole in an AdS black hole geometry. The second conjecture states that the complexity is given by the bulk action evaluated on the Wheeler-DeWitt patch attached at some boundary time t. There are by now a large number of papers developing and extending these ideas [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28].…”