RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






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


TMF, 1984, Volume 60, Number 3, Pages 323–343 (Mi tmf5348)  

This article is cited in 1 scientific paper (total in 1 paper)

Algebras of unbounded operators and vacuum superselection rules in quantum field theory II. Mathematical structure of vacuum superselection rules

A. V. Voronin, V. N. Sushko, S. S. Horuzhy


Abstract: The algebraic structure of quantum-field systems with vacuum superselection rules is analyzed in the framework of Wightman axiomaties on the basis of the mathematical formalism developed in Part I [6]. Two main theorems are obtained. The first asserts that a system with a discrete vacuum superselection rule, like systems with ordinary charge superselection rules, can always be described by a global algebra $R$ of class $P$ (direct sum of $I_\infty$ type factors), and this property of the global algebra is equivalent to discreteness of the decomposition of the generating Wightman functional with respect to pure states, and also the existence of a discrete decomposition of the Hilbert state space into an orthogonal sum of vacuum superseleetion sectors. In accordance with the second theorem, there is a discrete vacuum superselection rule in all quantum-field systems for which the induction $R'\to R_{P_0}'$, where $P_0$ is the projection operator onto the vacuum subspace $\mathscr H_0$, has a discrete decomposition into irreducible elements (in particular, in all systems with finite-dimensional $\mathscr H_0$). Other forms of vacuum structure in quantum field theory are analyzed.

Full text: PDF file (2558 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 1984, 60:3, 849–862

Bibliographic databases:

Document Type: Article
Received: 20.12.1983

Citation: A. V. Voronin, V. N. Sushko, S. S. Horuzhy, “Algebras of unbounded operators and vacuum superselection rules in quantum field theory II. Mathematical structure of vacuum superselection rules”, TMF, 60:3 (1984), 323–343; Theoret. and Math. Phys., 60:3 (1984), 849–862

Citation in format AMSBIB
\Bibitem{VorSusHor84}
\by A.~V.~Voronin, V.~N.~Sushko, S.~S.~Horuzhy
\paper Algebras of unbounded operators and vacuum superselection rules in quantum field theory II. Mathematical structure of vacuum superselection rules
\jour TMF
\yr 1984
\vol 60
\issue 3
\pages 323--343
\mathnet{http://mi.mathnet.ru/tmf5348}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=768162}
\zmath{https://zbmath.org/?q=an:0599.47074}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 60
\issue 3
\pages 849--862
\crossref{https://doi.org/10.1007/BF01017886}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1984AEF5000001}


Linking options:
  • http://mi.mathnet.ru/eng/tmf5348
  • http://mi.mathnet.ru/eng/tmf/v60/i3/p323

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
    Cycle of papers

    This publication is cited in the following articles:
    1. A. V. Voronin, “Discrete vacuum superselection rule in Wightman theory with essentially self-adjoint field operators”, Theoret. and Math. Phys., 66:1 (1986), 8–19  mathnet  crossref  mathscinet  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:254
    Full text:57
    References:15
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019