Interplay between the holographic QCD phase diagram and mutual & n -partite information
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Springer
Received: March 18, 2019 Accepted: April 17, 2019 Published: April 23, 2019
Subhash Mahapatra Department of Physics and Astronomy, National Institute of Technology Rourkela, Rourkela – 769008, India
E-mail: [email protected] Abstract: 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. Keywords: Holography and quark-gluon plasmas, Gauge-gravity correspondence, Holography and condensed matter physics (AdS/CMT), Confinement ArXiv ePrint: 1903.05927
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP04(2019)137
JHEP04(2019)137
Interplay between the holographic QCD phase diagram and mutual & n-partite information
Contents 1 Introduction
1
2 Holographic set up
5 7 8 9 9 11 14 16 17 18 19
4 Case II: the specious-confined/deconfined phases 4.1 Black hole thermodynamics 4.1.1 With small black hole background: one strip 4.1.2 With small black hole background: two strip 4.1.3 With small black hole background: n > 2 strips 4.1.4 With large black hole background: n strips 4.1.5 Small/large hole phase transition and mutual information
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5 Conclusions
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1
Introduction
Recent developments in string theory suggest that the idea of gauge/gravity duality [1–3] can shed new light on the intriguing connection between quantum information notions, quantum field theories and spacetime geometries [4–11]. At the heart of these advancements is the seminal work of Ryu-Takayanagi [4, 5], which gave a holographic framework for calculating entanglement entropy. The Ryu-Takayanagi (RT) proposal relates the entanglement entropy of the boundary theory to the area of minimal surfaces, which are homologous to the boundary of the subsystem and extend into the bulk. The Ryu-Takayanagi entanglement entropy proposal is one of the most significant and useful suggestions that has emerged from the gauge/gravity duality, providing not only a deep connection between quantum information and geometry but also opens a new way to calculate and understand other
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