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Entropy
Special Issues
Holographic Principle and Its Application
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Special Issue "Holographic Principle and Its Application"

A special issue of Entropy (ISSN 1099-4300).

Deadline for manuscript submissions: closed (31 March 2015)

Special Issue Editors

Dr. Kazuharu Bamba

E-Mail Website
Guest Editor
Faculty of Symbiotic Systems Science, Fukushima University, Fukushima 960-1296, Japan
Interests: particle cosmology; gravity theory; inflation; late time acceleration
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Oleg Lunin

E-Mail Website
Guest Editor
Department of Physics, University at Albany, Albany, NY 12222, USA
Interests: gauge/gravity duality; string theory; quantum properties of black holes; physics of strong interactions; supergravity

Special Issue Information

Dear Colleagues,

Holographic principle, which is inspired by the expression for the entropy of black holes, states that in theories with gravity, physics of any region of space is encoded in the information on the boundary of this region. The general idea of holography found a specific realization in the gauge/gravity duality, which postulates an equivalence between string theory (quantum gravity) on a space and field theory on the boundary of that space. Over the last two decades gauge/gravity duality has led to important breakthroughs in different fields, from physics of strong interactions and black holes to theories of superconductivity and quantum phase transitions. 

For this special issue we welcome manuscripts related to the holographic principle, gauge/gravity duality, and their applications to quantum gravity, strong interactions, and condensed matter physics.

Prof. Dr. Kazuharu Bamba
Prof. Dr. Oleg Lunin
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.


Keywords

  • holography
  • ads/cft correspondence
  • gauge/gravity correspondence
  • maldacena's conjecture
  • ads/qcd correspondence
  • gauge/string duality
  • ads/cmt correspondence
  • conformal field theory, algebraic structures
  • finite-temperature field theory
  • entanglement and quantum nonlocality
  • quantum aspects of black holes, evaporation, thermodynamics
  • cuprate superconductors
  • quantum transport
  • quantum phase transitions. quantum phase transitions
  • condensed matter physics

Published Papers (2 papers)

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Research

12 pages, 194 KiB  
Article
Entropy Bounds and Field Equations
by
Alessandro Pesci
Entropy 2015, 17(8), 5799-5810; https://doi.org/10.3390/e17085799 - 12 Aug 2015
Cited by 5 | Viewed by 3762
Abstract
For general metric theories of gravity, we compare the approach that describes/derives the field equations of gravity as a thermodynamic identity with the one which looks at them from entropy bounds. The comparison is made through the consideration of the matter entropy flux [...] Read more.
For general metric theories of gravity, we compare the approach that describes/derives the field equations of gravity as a thermodynamic identity with the one which looks at them from entropy bounds. The comparison is made through the consideration of the matter entropy flux across (Rindler) horizons, studied by making use of the notion of a limiting thermodynamic scale l* of matter, previously introduced in the context of entropy bounds. In doing this: (i) a bound for the entropy of any lump of matter with a given energy-momentum tensor Tab is considered, in terms of a quantity, which is independent of the theory of gravity that we use; this quantity is the variation of the Clausius entropy of a suitable horizon when the element of matter crosses it; (ii) by making use of the equations of motion of the theory, the same quantity is then expressed as the variation of Wald’s entropy of that horizon (and this leads to a generalized form of the generalized covariant entropy bound, applicable to general diffeomorphism-invariant theories of gravity); and (iii) a notion of l* for horizons, as well as an expression for it, is given. Full article
(This article belongs to the Special Issue Holographic Principle and Its Application)
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9 pages, 191 KiB  
Article
Thermodynamics in Curved Space-Time and Its Application to Holography
by
Yong Xiao
,
Li-Hua Feng
and
Li Guan
Entropy 2015, 17(4), 1549-1557; https://doi.org/10.3390/e17041549 - 24 Mar 2015
Cited by 1 | Viewed by 4661
Abstract
The thermodynamic behaviors of a system living in a curved space-time are different from those of a system in a flat space-time. We have investigated the thermodynamics for a system consisting of relativistic massless bosons. We show that a strongly curved metric will [...] Read more.
The thermodynamic behaviors of a system living in a curved space-time are different from those of a system in a flat space-time. We have investigated the thermodynamics for a system consisting of relativistic massless bosons. We show that a strongly curved metric will produce a large enhancement of the degrees of freedom in the formulae of energy and entropy of the system, as a comparison to the case in a flat space-time. We are mainly concerned with its implications to holography, including the derivations of holographic entropy and holographic screen. Full article
(This article belongs to the Special Issue Holographic Principle and Its Application)
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