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Stochastic quantization and gravity

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Book cover Non-Linear Equations in Classical and Quantum Field Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 226))

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References

  1. E. Nelson, Phys. Rev. 150 (1966) 1079.

    Article  Google Scholar 

  2. See e.g. N.G. van Kampen, Stochastic Processes in Physics and Chemistry, North Holland 1981.

    Google Scholar 

  3. E. Seiler, Stochastic Quantization and Gauge Fixing in Gauge Theories, Lectures given at 23. Internationale Universitätswochen für Kernphysik, Schladming, Austria, 1984.

    Google Scholar 

  4. F. Guerra and P. Ruggiero, Phys. Rev. Lett. 31 (1973) 1022.

    Article  Google Scholar 

  5. F. Guerra and M.I. Loffredo, Lett. Nuovo Cim. 27 (1980) 41.

    Google Scholar 

  6. S.C. Lim, Lett. Math. Phys. 7 (1983) 469.

    Article  Google Scholar 

  7. S.C. Lim, Phys. Lett. 135B (1984) 417.

    Google Scholar 

  8. F. Guerra and M.I. Loffredo, Lett. Nuovo Cim. 30 (1981) 81.

    Google Scholar 

  9. N. Cufaro Petroni, Ph. Gueret, J.-P. Vigier, Nuovo Cim. 81B (1984) 243.

    Google Scholar 

  10. R. Kubo, Five-Dimensional Formulation of Quantum Field Theory with an Invariant Parameter, Hiroshima University preprint RRK 84-11.

    Google Scholar 

  11. G. Parisi and Wu Yong-Shi, Sci. Sinica 24 (1981) 483.

    Google Scholar 

  12. E. Gozzi, Phys. Rev. D28 (1983) 1922.

    Google Scholar 

  13. R. Kirschner, Stochastic Quantization and Supersymmetry, Seminar given at 23. Internationale Universitätswochen für Kernphysik, Schladming, Austria, 1984.

    Google Scholar 

  14. H. Nicolai, Phys. Lett. 89B (1980) 341; Nucl. Phys. B176 (1980) 419.

    Google Scholar 

  15. J.D. Breit, S. Gupta, A. Zaks, Nucl. Phys. B233 (1984) 61.

    Article  Google Scholar 

  16. V. De Alfaro, S. Fubini, G. Furlan, Phys. Lett. 105B (1981) 462.

    Google Scholar 

  17. E. Gozzi, The new functional approach to field theory by De AlfaroFubini and its connection to Parisi-Wu stochastic quantization, New York City College preprint HEP-83/7.

    Google Scholar 

  18. D. Callaway, Phys. Lett. 145B (1984) 363.

    Google Scholar 

  19. M. Namiki, I. Ohba, K. Okano and Y. Yamanaka, Progr. Theor. Phys. 69 (1983) 1580.

    Google Scholar 

  20. P. van Nieuwenhuizen, Nucl. Phys. B60 (1973) 478.

    Article  Google Scholar 

  21. G.W. Gibbons, S.W. Hawking, M.J. Perry, Nucl. Phys. B138 (1978) 141.

    Article  Google Scholar 

  22. G.T. Horowitz, Quantum cosmology with a positive definite action, UCSB preprint TH-3 1984.

    Google Scholar 

  23. H. Hüffel and H. Rumpf, Stochastic quantization in Minkowski space, Phys. Lett. B (1884), to appear.

    Google Scholar 

  24. H. Hüffel and H. Rumpf, Stochastic quantization and gauge-fixing of the linearized gravitational field, University of Vienna preprint UWThPh-1984-30.

    Google Scholar 

  25. H. van Dam, M. Veltman, Nucl. Phys. B22 (1970) 397.

    Google Scholar 

  26. H. Rumpf, Phys. Rev. D28 (1983) 2946, and references cited therein.

    Google Scholar 

  27. S.W. Hawking, Acausal propagation in quantum gravity, in Quantum Gravity 2, (eds. C.J. Isham, R. Penrose and D.W. Sciama), Clarendon Press, Oxford (1981).

    Google Scholar 

  28. G. Parisi, Phys. Lett. 131B (1983) 393.

    Google Scholar 

  29. E. Gozzi, Langevin simulation in Minkowski space, Max-PlanckInstitute Munich preprint MPI-PAE/PTh 73/84.

    Google Scholar 

  30. D. Zwanziger, Nucl. Phys. B192 (1981) 259.

    Article  Google Scholar 

  31. B.S. De Witt, Quantum gravity: the new synthesis, in General Relativity-an Einstein Centenary survey (eds. S.W. Hawking and W. Israel), Cambridge University Press 1979.

    Google Scholar 

  32. J. Sakamoto, Progr. Theor. Phys. 70 (1983) 1424.

    Google Scholar 

  33. M. Namiki, I. Ohba and K. Okano, Stochastic Quantization of Constrained Systems-General Theory and Nonlinear Sigma Model, Waseda University (Tokyo) preprint WU-HEP-84-3.

    Google Scholar 

  34. W. Grimus and H. Hüffel, Z. Phys. C18 (1983) 129.

    Google Scholar 

  35. T. Fukai and K. Okano, Stochastic quantization of linearized Euclidean gravity and no-ghost Feynman rules, Waseda University (Tokyo) preprint WU-HEP-8.

    Google Scholar 

  36. A. Burnel, Phys. Rev. D29 (1984) 2344.

    Google Scholar 

  37. J. Alfaro, Non-renormalizable theories do not have a stochastic interpretation, Laboratoire de Physique Théorique de l'École Normale Supérieure preprint, 1984.

    Google Scholar 

  38. R. Floreanini and O. Foda, Stochastic quantization of nonrenormalizable theories, ISAS (Trieste) preprint 56/84/E.P.

    Google Scholar 

  39. L. Baulieu and D. Zwanziger, Nucl. Phys. B193 (1981) 163.

    Article  Google Scholar 

  40. M. Horibe, A. Hosoya and J. Sakamoto, Progr. Theor. Phys. 70 (1983) 1636.

    Google Scholar 

  41. V.N. Gribov, Nucl. Phys. B139 (1978) 1.

    Article  Google Scholar 

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Wien, A-1090, Vienna, Austria

    Helmut Rumpf

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  1. Helmut Rumpf
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N. Sanchez

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© 1985 Springer-Verlag

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Rumpf, H. (1985). Stochastic quantization and gravity. In: Sanchez, N. (eds) Non-Linear Equations in Classical and Quantum Field Theory. Lecture Notes in Physics, vol 226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15213-X_87

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  • DOI: https://doi.org/10.1007/3-540-15213-X_87

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  • Online ISBN: 978-3-540-39352-8

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