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Symmetry
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Symmetry with Quantum Statistical Field Theory
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Symmetry with Quantum Statistical Field Theory

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (15 June 2021) | Viewed by 4705

Special Issue Editors

Dr. Sayantan Choudhury

E-Mail Website
Guest Editor
Max Planck Institute for Gravitational Physics, 14476 Potsdam, Germany
Interests: theoretical cosmology; quantum information theory; open quantum system; quantum entanglement; quantum field theory; non-equilibrium aspects of statistical field theory; classical and quantum aspects of gravity; quantum chaos; quantum quench; string theory
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Savan Kharel

E-Mail Website
Guest Editor
1. Department of Physics, Williams College, MA 01267, USA
2.Department of Physics, University of Chicago, Chicago, IL 60637, USA

Special Issue Information

Dear Colleagues,

Presently, the study of quantum aspects of the universe is experiencing a strong comeback. Several tools and techniques for studying the various quantum aspects of the universe are proving to be extremely significant and enlightening. The study of such issues explores various unknown cosmological, qunatum gravity and quantum field theory implications and applications in our universe. This Special Edition of Symmetry is completely devoted to recent developments in quantum mechanical and field theoretical aspects of our universe, with a special focus on quantum field theory aspects of cosmology. All related articles are invited to be submitted for this Special Issue.

The topics of interest for this Special Issue include but are not limited to:

  1. Quantum aspects in statistical field theory;
  2. Chaos and complexity from holography and quantum field theories;
  3. Eigenstate thermalization hypothesis and disorder averaging in quantum gravity;
  4. Fluctuation and dissipation theorem;
  5. Replica trick, islands and wormholes;
  6. Quantum chaos and quantum quench;
  7. Black hole information paradox and evaporation issue;
  8. Various aspects of AdS/CMT;
  9. Quantum entanglement and its connection to holography and quantum field theories.

Dr. Sayantan Choudhury
Prof. Dr. Savan Kharel
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. Symmetry 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 2400 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

  • quantum aspects in statistical field theory
  • quantum quench
  • eigenstate thermalization hypothesis
  • fluctuation and dissipation
  • quantum chaos
  • AdS/CMT
  • disorder averaging in quantum gravity
  • quantum entanglement
  • chaos and complexity from holography and quantum field theories
  • Jackiew–Teilboim gravity
  • black hole information paradox and evaporation issue
  • replica trick
  • islands
  • wormholes

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Further information on MDPI's Special Issue polices can be found here.

Published Papers (2 papers)

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Research

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10 pages, 1064 KiB  
Article
Rotational Diode: Clockwise/Counterclockwise Asymmetry in Conducting and Mechanical Properties of Rotating (semi)Conductors
by M. N. Chernodub
Symmetry 2021, 13(9), 1569; https://doi.org/10.3390/sym13091569 - 26 Aug 2021
Cited by 4 | Viewed by 2449
Abstract
It is difficult to imagine an isolated classical object which possess different moments of inertia when it is uniformly rotated about the same axis with the same angular frequency in opposite, clockwise and counterclockwise, directions. We argue that due to quantum effects, certain [...] Read more.
It is difficult to imagine an isolated classical object which possess different moments of inertia when it is uniformly rotated about the same axis with the same angular frequency in opposite, clockwise and counterclockwise, directions. We argue that due to quantum effects, certain (semi-) conductors should exhibit asymmetry in their mechanical and conducting properties with respect to the opposite rotations. We show that a cylinder made of a suitably chosen semiconductor, coated in a metallic film and placed in the magnetic-field background, can serve as a “rotational diode”, which conducts electricity only at a specific range of angular frequencies. The critical angular frequency and the direction of rotation can be tuned with the magnetic field’s strength. Mechanically, the rotational diode possesses different moments of inertia when rotated in clockwise and counterclockwise directions. These effects emerge as a particularity of the Fermi-Dirac statistics of electrons in rotating conductors. Full article
(This article belongs to the Special Issue Symmetry with Quantum Statistical Field Theory)
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Review

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35 pages, 492 KiB  
Review
Quantum Current Algebra Symmetry and Description of Boltzmann Type Kinetic Equations in Statistical Physics
by Lev I. Ivankiv, Yarema A. Prykarpatsky, Valeriy H. Samoilenko and Anatolij K. Prykarpatski
Symmetry 2021, 13(8), 1452; https://doi.org/10.3390/sym13081452 - 9 Aug 2021
Cited by 2 | Viewed by 1626
Abstract
We review a non-relativistic current algebra symmetry approach to constructing the Bogolubov generating functional of many-particle distribution functions and apply it to description of invariantly reduced Hamiltonian systems of the Boltzmann type kinetic equations, related to naturally imposed constraints on many-particle correlation functions. [...] Read more.
We review a non-relativistic current algebra symmetry approach to constructing the Bogolubov generating functional of many-particle distribution functions and apply it to description of invariantly reduced Hamiltonian systems of the Boltzmann type kinetic equations, related to naturally imposed constraints on many-particle correlation functions. As an interesting example of deriving Vlasov type kinetic equations, we considered a quantum-mechanical model of spinless particles with delta-type interaction, having applications for describing so called Benney-type hydrodynamical praticle flows. We also review new results on a special class of dynamical systems of Boltzmann–Bogolubov and Boltzmann–Vlasov type on infinite dimensional functional manifolds modeling kinetic processes in many-particle media. Based on algebraic properties of the canonical quantum symmetry current algebra and its functional representations, we succeeded in dual analysis of the infinite Bogolubov hierarchy of many-particle distribution functions and their Hamiltonian structure. Moreover, we proposed a new approach to invariant reduction of the Bogolubov hierarchy on a suitably chosen correlation function constraint and deduction of the related modified Boltzmann–Bogolubov kinetic equations on a finite set of multi-particle distribution functions. There are also presented results of application of devised methods to describing kinetic properties of a many-particle system with an adsorbent surface, in particular, the corresponding kinetic equation for the occupation density distribution function is derived. Full article
(This article belongs to the Special Issue Symmetry with Quantum Statistical Field Theory)
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