Skip to main content
SpringerLink
Log in

Introduction

  • Chapter
  • First Online:
The Pursuit of Quantum Gravity

Abstract

DeWitt wrote the following pages for his grandson, Benjamin Bryce Arar, probably in the mid-nineties.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 64.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 84.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 84.99
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 (supplied by C. DeWitt-Morette and B. DiNunno)

  1. DeWitt, B.S.: Quantum theory of gravity. I. The canonical theory. Phys. Rev. 160, 1113–1148 (1967)

    MATH  Google Scholar 

  2. Rosenfeld, L.: Zur Quantelung der Wellenfelder. Ann. Physik 5, 113–152 (1930)

    Article  ADS  Google Scholar 

  3. Rosenfeld, L.: Uber die Gravitationswirkungen des Lichtes. Zeitschrift Fur Physik 65, 589–599 (1930)

    Article  ADS  Google Scholar 

  4. DeWitt, B.S.: I. The theory of gravitational interactions. II. The interaction of gravitation with light. Ph.D. Thesis, Harvard (1950)

    Google Scholar 

  5. DeWitt, C.M. (eds.): Conference on the role of gravitation in physics. WADCTechnical Report 57–216. (Wright-Patterson Air Force Base, Ohio) (1957)

    Google Scholar 

  6. Papers from the Conference on the Role of Gravitation in Physics Held at the University of North Carolina, Chapel Hill, North Carolina, January 18–23, 1957, Rev. Mod. Phys. 29 (1957), 351–546. Introductory Note by Bryce S. DeWitt

    Google Scholar 

  7. Feynman, R.P.: Quantum theory of gravitation. Acta Physica Polonica 24, 697–722 (1963)

    MathSciNet  ADS  Google Scholar 

  8. DeWitt, B.S.: Theory of radiative corrections for non-abelian gauge fields. Phys. Rev. Lett. 12, 742–746 (1964)

    Article  MathSciNet  ADS  Google Scholar 

  9. DeWitt, B.S.: Quantum Theory of Gravity: (1967) I. The Canonical Theory, Phys. Rev. 160, 1113–1148. Also reprinted in Quantum Cosmology, Fang and Ruffini, (eds.) (World Scientific, Singapore, 1987). Translated into Russian and published by “Nauka,” Moscow (1987)

    Google Scholar 

  10. DeWitt, B.S.: Quantum Theory of Gravity: (1967) II. The Manifestly Covariant Theory, Phys. Rev. 162, 1195–1239. Also reprinted in Gauge Theories of Fundamental Interactions, Mohapatra and Lai, (eds.) (World Scientific, Singapore, 1981). Translated into Russian and published by “Nauka,” Moscow (1987)

    Google Scholar 

  11. DeWitt, B.S.: Quantum Theory of Gravity: (1967) III. Applications of the Covariant Theory, Phys. Rev. 162, 1239–1256. Also reprinted in Gauge Theories of Fundamental Interactions, Mohapatra and Lai, eds. (World Scientific, Singapore, 1981)

    Google Scholar 

  12. Bergmann, P.G.: Non-linear field theories. Phys. Rev. 75, 680–685 (1949)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  13. Einstein, A., Infeld, L., Hoffmann, B.: Gravitational equations and the problem of motion. Ann. Math. 39, 65–100 (1938)

    Article  MathSciNet  Google Scholar 

  14. DeWitt B.S.: Dynamical Theory of Groups and Fields., pp 33 and 31 (eq 6.41, fig 1). (Gordon and Breach Science Publishers, Inc., New York and London), 248 pp. Translated into Russian and published by “Nauka,” Moscow, 1987 (1965)

    Google Scholar 

  15. Ref. 14 is a reproduction of an article under the same name in Relativity, Groups and Topology, 1963 Les Houches Lectures, Bryce S. DeWitt, Ccile M. DeWitt (eds.), 585–820 (Gordon and Breach Science Publishers, Inc., New York and London, 1964)

    Google Scholar 

  16. Feynman introduced his propagator (eq 3) in his article Space-time Approach to Quantum Electrodynamics. Phys. Rev. 76, 769–789 (1949)

    Google Scholar 

  17. DeWitt, B.S.: The Quantum and Gravity: The Wheeler–DeWitt Equation. In: Proceedings of the Eighth Marcel Grossmann Conference, The Hebrew University, Jerusalem, Israel (World Scientific) (1997)

    Google Scholar 

  18. Ashtekar, A.: New variables for classical and quantum gravity. Phys. Rev. Lett. 57, 2244–2247 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  19. Ashtekar, A., Geroch, R.: Quantum theory of gravitation. Rep. Prog. Phys. 37, 1211–1256 (1974)

    Article  ADS  Google Scholar 

  20. Ashtekar, A., Baez, J., Corichi, A., Krasnov, K.: Quantum geometry and black hole entropy. Phys. Rev. Lett. 80, 904. [arXiv:gr-qc/9710007] (1998)

    Google Scholar 

  21. Fischler, W., Ratra, B., Susskind, L.: Quantum mechanics of inflation. Nucl. Phys. B 259, 730–744 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  22. Fischler, W., Ratra, B., Susskind, L.: Erratum. Nucl. Phys. B 268, 747 (1986)

    MathSciNet  Google Scholar 

  23. DeWitt, B.S., Graham, N.: The Many-Worlds Interpretation of Quantum Mechanics: A Fundamental Exposition by Hugh Everett III, with papers by Wheeler, J.A., DeWitt, B.S., Cooper L.N., Van Vechten, D., Neil Graham. Princeton University Press, Princeton, NJ (1973)

    Google Scholar 

  24. Atiyah, M.F., Singer, I.M.: The index of elliptic operators III. Ann. Math. 84, 546–604 (1968)

    Article  MathSciNet  Google Scholar 

  25. Choquet-Bruhat, Y., DeWitt-Morette, C.: Analysis, Manifolds and Physics. Part II, pp. 134–141. Elsevier Science, Amsterdam (1989)

    Google Scholar 

  26. Debever, R. (Ed.): Elie Cartan and Albert Einstein: Letters on Absolute Parallelism 1929–1932. Original text in French/ German, English translation by Leroy, J., Ritter, J. Princeton University Press, Princeton NJ 1979

    Google Scholar 

  27. Cartan, E.: La Mthode du Repre Mobile, la Thorie des Groupes Continus et les Espaces Gnraliss. Paris, Hermann et cie (1935)

    Google Scholar 

  28. ’t Hooft, G., Veltman, M.: One-loop divergences in the theory of gravitation. Annales de l’Institut Henri Poincar Section A 20, 69–94 (and references therein) (1974)

    Google Scholar 

  29. Zinn-Justin, J.: Renormalization of gauge theories. Lect. Notes Phys. 37, 2–39 (Springer) (1975)

    Google Scholar 

  30. DeWitt, B.S.: Gravity: a universal regulator? Phys. Rev. Lett. 13, 114–118 (1964)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  31. Hawking, S.W.: Black hole explosions? Nature 248, 30–31 (1974)

    Article  ADS  Google Scholar 

  32. Bekenstein, J.D.: Black holes and entropy. Phys. Rev. D 7, 2333–2346 (1973)

    Article  MathSciNet  ADS  Google Scholar 

  33. Strominger, A., Vafa, C.: Microscopic origin of Bekenstein–Hawking entropy. Phys. Lett. B 379, 99–104 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  34. Scherk, J., Schwarz, J.H.: Dual models and the geometry of space–time. Phys. Lett. B 52, 347–350 (1974)

    Article  MathSciNet  ADS  Google Scholar 

  35. Yoneya, T.: Connection of dual models to electrodynamics and gravidynamics. Prog. Theor. Phys. 51, 1907–1920 (1974)

    Article  ADS  Google Scholar 

  36. Wesley, W.G.: Quantum Falling Charges. General Relativity and Gravitation. 2, 235–245. Ph.D. thesis available from ProQuest 789 E. Eisenhower Parkway P.O. Box 1346. Ann Arbor, MI 48106-1346 (1971)

    Google Scholar 

  37. DeWitt, C., Laidlaw, M.G.G.: Feynman functional integrals for systems of indistinguishable particles. Phys. Rev. D 3, 1375–1378 (1971)

    Article  ADS  Google Scholar 

  38. Polchinski, J.G.: String Theory Volume I: An Introduction to the Bosonic String and String Theory Volume II: Superstring Theory and Beyond. Cambridge University Press, London (1998)

    Google Scholar 

  39. Wheeler, J.A.: Geons. Phys. Rev. 97, 511–536

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics Center for Relativity, University of Texas at Austin, Austin, Texas, USA

    Cécile DeWitt-Morette

Authors
  1. Cécile DeWitt-Morette
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Cécile DeWitt-Morette .

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

DeWitt-Morette, C. (2011). Introduction. In: The Pursuit of Quantum Gravity. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14270-3_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-14270-3_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14269-7

  • Online ISBN: 978-3-642-14270-3

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics

Search

Navigation