applications of the holographic duality to strongly coupled...

EditorialApplications of the Holographic Duality toStrongly Coupled Quantum Systems

Li Li,1 Hai-Qing Zhang,2 Song He,3 Zhang-Yu Nie,4 Yun-Long Zhang,5 and Bum-Hoon Lee6

1Lehigh University, Bethlehem, PA, USA2Utrecht University, Utrecht, Netherlands3Max Planck Institute for Gravitational Physics, Golm, Germany4Kunming University of Science and Technology, Kunming, Yunnan, China5Asia Pacific Center for Theoretical Physics, Pohang, Republic of Korea6Sogang University, Seoul, Republic of Korea

Correspondence should be addressed to Li Li; [email protected]

Received 28 November 2017; Accepted 28 November 2017; Published 14 December 2017

Copyright © 2017 Li Li et al. This is an open access article distributed under the Creative Commons Attribution License, whichpermits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Thepublication of this article was funded by SCOAP3.

The holographic duality represents a major advance in ourunderstanding of string theory and quantum gravity and alsoprovides a powerful toolkit for studying strongly coupledquantum field theories. Thanks to this duality, challengingquestions about dynamics in quantum phases of matterin strong coupling regime can be mapped to processes intheories of gravity which are tractable. It was proven to bevery useful in describing unconventional physics in manyfields, such as gauge theory, condensed matter, informationtheory, and systems described by hydrodynamics.

The selected contributions to this special issue are aimedat bringing together some of the latest developments inthis field. The special issue covers several interesting topics,including novel black hole solutions, holographic QCD,entanglement entropy, and the construction of the bulkoperators. The accepted articles are highlighted as follows.

The paper titled “Heavy Quark Potential with Hyperscal-ing Violation” by Z. Zhang et al. investigates the behavior ofthe heavy quark potential in the Lifshitz backgrounds withhyperscaling violation. It shows how the potential changes inthe presence of the nonrelativistic parameters. The effect of aconstant electric field on the potential is also investigated.

The paper titled “Holographic van der Waals PhaseTransition for a Hairy Black Hole” by X.-X. Zeng and Y.-W.Han is devoted to studying the van derWaals phase transition

in a hairy black hole by holography.The two-point correlationfunction is employed to probe the phase structure of theblack hole, and some interesting behaviors are found in thetemperature-thermal entropy plane.

The paper titled “Entropic Destruction of Heavy Quarko-nium from a Deformed AdS

5Model” by Z. Zhang et al.

discusses the effects of the deformation parameter on theinterdistance, the entropic force, and the quarkonium disso-ciation.

The paper by X.-M. Liu et al. is titled “Van derWaals-LikePhase Transition from Holographic Entanglement Entropyin Lorentz Breaking Massive Gravity.” The authors use theentanglement entropy to probe the phase transition of AdSblack holes in Lorentz breaking massive gravity. It suggestssome potential relation between the entanglement entropyand the Bekenstein-Hawking entropy.

In the paper titled “Bulk Local Operators, ConformalDescendants, and Radial Quantization,” Z.-L. Wang and Y.Yan establish a construction of the bulk local operators inAdS by considering CFT at finite energy scale. The authorsalso discuss a possible way of generalizing the constructionbeyond pure AdS.

The paper titled “Note on Relation between Bottom-UpHolographic Models and Large-𝑁

𝑐QCD” by S. S. Afonin

HindawiAdvances in High Energy PhysicsVolume 2017, Article ID 5972387, 2 pageshttps://doi.org/10.1155/2017/5972387

https://doi.org/10.1155/2017/5972387

2 Advances in High Energy Physics

discusses a derivation of holographic actions quadratic infields from general properties of the large-𝑁

𝑐limit in QCD.

The paper titled “AdS Black Hole with Phantom ScalarField” by L. Zhang et al. deals with an AdS black hole solutionwith Ricci flat horizon in Einstein-phantom scalar theory.After discussing the thermodynamics of the phantom blackhole, the authors present the behavior of the entanglemententropy for a strip geometry.

In the paper titled “Reentrant Phase Transitions andTriple Points of Topological AdS Black Holes in Born-Infeld-Massive Gravity” by M. Zhang et al., the authors studythe critical behaviors of topological AdS black holes inthe presence of Born-Infeld nonlinear electrodynamics inmassive gravity. By considering the cosmological constant asa dynamical pressure of the system, some interesting phasestructures are uncovered.

In summary, the holographic duality provides an invalu-able source of physical intuition as well as computationalpower to deal with strongly coupled problems. Constructing,exploring, and categorizing the diverse states of matterthrough holography are a prominent theme in this specialissue. We hope that this special issue will enrich readers withnew investigations on the current related research areas andstimulate further studies.

Li LiHai-Qing Zhang

Song HeZhang-Yu Nie

Yun-Long ZhangBum-Hoon Lee

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