Skip to main content

Canonical Quantum Gravity with New Variables and Loops: A Report

  • Conference paper
Gravitation and Cosmology

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 211))

  • 280 Accesses

Abstract

This is a brief and updated summary of a talk given at the International Conference on Gravitation and Cosmology that took place in Poona in December 1995. It is very brief and is mostly intended as a guide to current literature, or to keep people updated only in very broad terms on the latest developments in the subject.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. J. Isham, gr-qc/9310031, in “Canonical gravity: from classical to quantum”, ed J. Ehlers, H. Friedrich, Lecture Notes in Physics 434, Springer-Verlag, Berlin (1994); “Structural issues in quantum gravity” gr-qc/9510063.

    Google Scholar 

  2. K. Kuchař, in “Proceedings of the 4th Canadian meeting on Relativity and Relativistic Astrophysics”, editors G. Kunstatter, D. Vincent, J. Williams, World Scientific, Singapore (1992).

    Google Scholar 

  3. B. DeWitt, Phys. Rev. 162, 195 (1967).

    ADS  Google Scholar 

  4. A. Ashtekar, Phys. Rev. Lett. 57, 2244 (1986); Phys. Rev. D36, 1587 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  5. A. Rendall, Class. Quan. Grav. 10, 605 (1993).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. R. Gambini, A. Trias, Phys. Rev. D23, 553 (1981).

    MathSciNet  ADS  Google Scholar 

  7. R. Gambini, A. Trias, Nucl. Phys. B278, 436 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  8. C. Rovelli. L. Smolin, Phys. Rev. Lett. 61, 1155 (1988); Nucl. Phys. B331, 80 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  9. R. Gambini, Phys. Lett. B255, 180 (1991).

    MathSciNet  ADS  Google Scholar 

  10. B. Brügmann, J. Pullin, Nucl. Phys. 390, 399 (1993).

    Article  ADS  Google Scholar 

  11. M. Blencowe, Nucl. Phys. B 341, 213 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  12. C. Torre, I. Anderson. Phys. Rev. Lett. 70, 3525 (1993); C. Torre, Phys. Rev. D48, R2373 (1993).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. J. Goldberg, J. Lewandowski, C. Stornaiolo, Commun. Math. Phys. 148, 377 (1992).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. F. Barbero, Phys. Rev. 49, 6935 (1994); D51, 5507 (1995);D51, 5498 (1995)

    MathSciNet  ADS  Google Scholar 

  15. T. Thiemann, “Reality conditions inducing transforms for quantum gauge field theory and quantum gravity” preprint gr-qc/9511057.

    Google Scholar 

  16. A. Ashtekar, Phys. Rev. D53, R2865 (1996).

    MathSciNet  ADS  Google Scholar 

  17. C. Torre, Phys. Rev. D, 3620 (1990).

    Google Scholar 

  18. R. Gambini, J. Pullin, “Variational derivations of exact skein relations for Chern-Simons theories” hep-th/9602165.

    Google Scholar 

  19. C. Rovelli, L. Smolin, Nucl. Phys. B442, 593, (1995).

    Article  MathSciNet  ADS  Google Scholar 

  20. R. Penrose, in “Quantum theory and beyond”, ed E. Bastin, Cambridge Uni-versity Press, Cambridge (1971).

    Google Scholar 

  21. L. Kauffman, S. Lins “Temperley-Lieb recoupling theory and invariants of 3-manifolds”, Annals of Mathematics Studies 134, Princeton University Press, Princeton (1994); R. Di Pietri, C. Rovelli, gr-qc/9602023, to appear in Phys. Rev. D.

    MATH  Google Scholar 

  22. R. Borissov, “Graphical evolution of spin network states”, preprint gr-qc/9606013; R. Borissov, S. Major, L. Smolin, “The geometry of quantum spin networks”, preprint gr-qc/9512043.

    Google Scholar 

  23. C. Rovelli, J. Math. Phys.36, 6529, (1995).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  24. J. Baez, Adv. Math. 117, 253 (1996).

    Article  MathSciNet  MATH  Google Scholar 

  25. C. Rovelli, L. Smolin Phys. Rev. D52, 5743, (1995).

    MathSciNet  ADS  Google Scholar 

  26. C. Rovelli, “Black hole entropy from loop quantum gravity”, preprint gr-qc/9603063; M. Barreira, M. Carfora, C. Rovelli, “Physics from nonperturbative quantum gravity: radiation from a quantum black hole, gr-qc/9603064, to appear in Gen. Rel. Grav.

    Google Scholar 

  27. R. Gambini, J. Pullin, “The general solution of the quantum Einstein equations?” preprint gr-qc/9603019.

    Google Scholar 

  28. H. Fort, R. Gambini, J. Pullin, in preparation.

    Google Scholar 

  29. R. Gambini, J. Griego, J. Pullin, in preparation.

    Google Scholar 

  30. B. Brügmann, R. Gambini, J. Pullin, Nucl. Phys. B385, 587 (1992);Gen. Rel. Grav. 25, 1 (1993).

    Article  ADS  Google Scholar 

  31. M. Reisenberger, and private communication.

    Google Scholar 

  32. D. Bar-Natan, Topology 34 (1995) 423–472; L. Kauffman in “Knots and quantum gravity”, J. Baez editor, Oxford, Clarendon Press (1994); J. Baez, Lett. Math. Phys. 26, 43 (1992).

    Article  MathSciNet  MATH  Google Scholar 

  33. J. Griego, Phys. Rev. D53 6966, (1996).

    MathSciNet  ADS  Google Scholar 

  34. C. Di Bartolo, R. Gambini, J. Griego, Phys. Rev. D51, 502 (1995).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jorge Pullin .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Pullin, J. (1997). Canonical Quantum Gravity with New Variables and Loops: A Report. In: Dhurandhar, S., Padmanabhan, T. (eds) Gravitation and Cosmology. Astrophysics and Space Science Library, vol 211. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5812-1_14

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-5812-1_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6455-2

  • Online ISBN: 978-94-011-5812-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics