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, 2011, Volume 7, 104, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.104 (Mi sigma662) 		 
The Space of Connections as the Arena for (Quantum) Gravity

Steffen Gielen

Albert Einstein Institute, Am Mühlenberg 1, 14476 Golm, Germany
Full-text PDF (369 kB)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2011.104
Abstract: We review some properties of the space of connections as the natural arena for canonical (quantum) gravity, and compare to the case of the superspace of 3-metrics. We detail how a 1-parameter family of metrics on the space of connections arises from the canonical analysis for general relativity which has a natural interpretation in terms of invariant tensors on the algebra of the gauge group. We also review the description of canonical GR as a geodesic principle on the space of connections, and comment on the existence of a time variable which could be used in the interpretation of the quantum theory.
Keywords: canonical quantum gravity, gravitational connection, semisimple Lie algebras, infinite-dimensional manifolds.
Received: August 30, 2011; in final form November 9, 2011; Published online November 11, 2011
Bibliographic databases:
Document Type: Article
MSC: 22E70; 51P05; 53C05; 53C80; 83C05; 83C45
Language: English
Citation: Steffen Gielen, “The Space of Connections as the Arena for (Quantum) Gravity”, SIGMA, 7 (2011), 104, 12 pp.
Citation in format AMSBIB
\Bibitem{Gie11}
\by Steffen Gielen
\paper The Space of Connections as the Arena for (Quantum) Gravity
\jour SIGMA
\yr 2011
\vol 7
\papernumber 104
\totalpages 12
\mathnet{http://mi.mathnet.ru/sigma662}
\crossref{https://doi.org/10.3842/SIGMA.2011.104}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000296885000001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84857159161}
Linking options:
  • https://www.mathnet.ru/eng/sigma662
  • https://www.mathnet.ru/eng/sigma/v7/p104
    • 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
    Statistics & downloads:
    Abstract page:215
    Full-text PDF :39
    References:38
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024