Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



SIGMA:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 045, 21 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.045
(Mi sigma298)
 

This article is cited in 9 scientific papers (total in 9 papers)

Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy

George Yu. Bogoslovsky

Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119991 Moscow, Russia
Full-text PDF (394 kB) Citations (9)
References:
Abstract: We study the geometric phase transitions that accompany the dynamic rearrangement of vacuum under spontaneous violation of initial gauge symmetry. The rearrangement may give rise to condensates of three types, namely the scalar, axially symmetric, and entirely anisotropic condensates. The flat space-time keeps being the Minkowski space in the only case of scalar condensate. The anisotropic condensate having arisen, the respective anisotropy occurs also in space-time. In this case the space-time filled with axially symmetric condensate proves to be a flat relativistically invariant Finslerian space with partially broken 3D isotropy, while the space-time filled with entirely anisotropic condensate proves to be a flat relativistically invariant Finslerian space with entirely broken 3D isotropy. The two Finslerian space types are described briefly in the extended introduction to the work, while the original part of the latter is devoted to determining observable 3-velocities in the entirely anisotropic Finslerian event space. The main difficulties that are overcome in solving that problem arose from the nonstandard form of the light cone equation and from the necessity of correct introducing of a norm in the linear vector space of rapidities.
Keywords: Lorentz, Poincaré, and gauge invariances; spontaneous symmetry breaking; dynamic rearrangement of vacuum; Finslerian space-time.
Received: December 9, 2007; in final form May 8, 2008; Published online May 26, 2008
Bibliographic databases:
Document Type: Article
Language: English
Citation: George Yu. Bogoslovsky, “Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy”, SIGMA, 4 (2008), 045, 21 pp.
Citation in format AMSBIB
\Bibitem{Bog08}
\by George Yu.~Bogoslovsky
\paper Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy
\jour SIGMA
\yr 2008
\vol 4
\papernumber 045
\totalpages 21
\mathnet{http://mi.mathnet.ru/sigma298}
\crossref{https://doi.org/10.3842/SIGMA.2008.045}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2425647}
\zmath{https://zbmath.org/?q=an:1148.53054}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267267800045}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84857280312}
Linking options:
  • https://www.mathnet.ru/eng/sigma298
  • https://www.mathnet.ru/eng/sigma/v4/p45
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024