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Remarks on the gravitational suppression of quantum field infinities

  • C. Villi
Article

Summary

The possibility of removing the infinities arising in quantum field theory by means of a particular curved space-time is investigated.

PACS

12.25 Models for gravitational interactions PACS 11.90 Topics in general field and particle theory 

Замечание о гравитационном устранении бесконечностей в квантовой теории

Резюме

Исследуется возможность устранения бесконечностей, возникающих в квантовой теории поля, посредством опеделенного искривленного пространствавремени.

Riassunto

Si discute criticamente il possibile ruolo della gravità al fine di eliminare le divergenze della teoria quantistica dei campi.

References

  1. (1).
    R. Delbourgo, A. Salam andJ. Strathdee:Lett. Nuovo Cimento,2, 253 (1969);A. Salam andJ. Strathdee:Lett. Nuovo Cimento,4, 101 (1970);C. I. Isham, A. Salam andJ. Strathdee:Phys. Rev. D,3, 1805 (1971);5, 2548 (1972).CrossRefGoogle Scholar
  2. (2).
    I. L. Synge:Relativity: The General Theory (North-Holland Publ. Co., Amsterdam, 1960).MATHGoogle Scholar
  3. (3).
    A. Einstein:The Meaning of Relativity (Princeton University Press, Princeton, N.J., 1955).MATHGoogle Scholar
  4. (4).
    W. Pauli:Theory of Relativity (Pergamon Press, London, 1958).MATHGoogle Scholar
  5. (5).
    V. Petrosian, E. E. Salpeter andP. Szekeres:Astrophys. J.,147, 1222 (1967);J. E. Gunn andB. M. Tinsley:Nature (London),257, 454 (1975);I. P. Ostriker andS. D. Tremaine:Astrophys. J.,202, 113 (1975).CrossRefADSGoogle Scholar
  6. (6).
    E. Schrödinger:Proc. R. Ir. Acad.,51, 163 (1947);51, 205 (1948);52, 1 (1948).Google Scholar
  7. (7).
    J. A. Wheeler:Phys. Rev.,97, 511 (1955).MathSciNetCrossRefADSMATHGoogle Scholar
  8. (8).
    H. A. Wilson:Phys. Rev.,17, 54 (1921); see alsoR. H. Dicke:Rev. Mod. Phys.,29, 363 (1957).CrossRefADSGoogle Scholar
  9. (9).
    M. Veltman:International Symposium on Leptons and Photons Interactions at High Energies (Fermi Laboratory, Batavia, Ill., 1979).Google Scholar
  10. (10).
    Ya. B. Zel'dovitch:Usp. Fiz. Nauk,95, 209 (1968);Sov. Phys. Usp.,11, 381 (1968).Google Scholar
  11. (11).
    M. Veltman:Phys. Rev. Lett.,34, 777 (1975).CrossRefADSGoogle Scholar
  12. (12).
    J. Dreitlein:Phys. Rev. Lett.,33, 1243 (1974).CrossRefADSGoogle Scholar
  13. (13).
    K. Sato andH. Sato:Prog. Theor. Phys.,54, 1564 (1975).CrossRefADSGoogle Scholar
  14. (14).
    F. Wilczek:International Conference on Unified Theories and their Experimental Tests (Cleup, Padua, 1982).Google Scholar
  15. (15).
    M. I. Duff:Quantum Gravity (Clarendon Press, Oxford, 1975).Google Scholar
  16. (16).
    P. G. Bergmann:Introduction to the Theory of Relativity (Prentice-Hall Inc., New York, N. Y., 1953).MATHGoogle Scholar
  17. (17).
    A. Schlüte:Astron. J.,60, 141 (1955); see alsoG. C. McVittie:General Relativity and Cosmology (University of Illinois Press, Urbana, Ill., 1965).CrossRefADSGoogle Scholar
  18. (18).
    V. de Alfaro, S. Fubini andG. Furlan:Nuovo Cimento A,50, 523 (1959);Nuovo Cimento B,57, 227 (1980).CrossRefADSGoogle Scholar
  19. (19).
    A. Zee:Phys. Rev. Lett.,42, 417 (1979).CrossRefADSGoogle Scholar
  20. (20).
    J. E. Jones:Ann. Phys. (N. Y.),101, 380 (1976).CrossRefADSMATHGoogle Scholar
  21. (21).
    A. D. Linde:JETP Lett.,19, 183 (1974);V. Canuto andF. J. Lee:Phys. Lett. B,72, 281 (1977);V. Canuto, P. J. Adams, S. H. Hsich andT. Tsing:Phys. Rev. D,16, 1643 (1977).MathSciNetADSGoogle Scholar
  22. (22).
    O. Klein:Nuovo Cimento, Suppl.,6, 344 (1957);L. D. Landau:Niels Bohr and the Development of Physics (Pergamon Press, London, 1955);W. Pauli:Helv. Phys. Acta, Suppl.,4, 69 (1956);A. Salam:Fields Quanta,1, 1 (1971).CrossRefGoogle Scholar
  23. (23).
    H. Dingle:Proc. Nat. Acad.,19, 559 (1933); see alsoR. C. Tolman:Relativity, Thermodynamics and Cosmology (Clarendon Press, Oxford, 1946).CrossRefADSGoogle Scholar
  24. (24).
    Ya. B. Zel'dovitch andI. D. Novikov:Relativistic Astrophysics (University of Chicago Press, 1971).Google Scholar
  25. (25).
    S. S. Schweber:An Introduction to Relativistic Quantum Field Theory (Row, Peterson and Co., New York, N. Y., 1961).Google Scholar
  26. (26).
    A. Salam andJ. Strathdee:Lett. Nuovo Cimento,4, 101 (1970); see alsoA. Salam:Quantum Gravity (Clarendon Press, Oxford, 1975);S. Deser:Symposium on the Last Decade in Particle Theory (University of Texas Press, Austin, Tex., 1970).CrossRefGoogle Scholar
  27. (27).
    J. M. Jauch andF. Rohrlich:The Theory of Photons and Electrons (Addison-Wesley Publ. Co., Reading, Mass., 1975).Google Scholar
  28. (28).
    C. W. Misner:Rev. Mod. Phys.,29, 497 (1975);B. Sewitt:Rev. Mod. Phys.,29, 377 (1975).MathSciNetCrossRefADSGoogle Scholar
  29. (29).
    B. S. De Witt:Phys. Rep. C,19, 295 (1975);N. B. Birrell andP. C. W. Davies:Quantum Fields in Curved Space (Cambridge University Press, Cambridge, 1982).CrossRefADSGoogle Scholar
  30. (30).
    R. P. Feynman:Phys. Rev.,74, 939 (1948);76, 769 (1949);R. P. Feynman andG. Speisman:Phys. Rev.,94, 500 (1954).MathSciNetCrossRefADSMATHGoogle Scholar
  31. (31).
    T. D. Lee andG. C. Wick:Nucl. Phys. B,9 209 (1969);Phys. Rev. D,2, 1033 (1970);T. D. Lee:Elementary Processes at High Energies, edited byA. Zichichi (Academic Press, New York, N. Y., 1971).MathSciNetCrossRefADSMATHGoogle Scholar
  32. (32).
    P. Roman:Introduction to Quantum Field Theory (John Wiley and Sons, Inc., New York, N. Y., 1969).MATHGoogle Scholar
  33. (33).
    B. E. Lautrup, A. Peterman andE. de Rafael:Phys. Rep. C,3, 193 (1972);J. C. Branson:Proceedings of the X International Symposium on Lepton and Photon Interactions at High Energies (Bonn, 1981);D. Bender, M. Derrick, E. Fernandes, G. Gieraltowski, L. Hyman, K. Jaeger, R. Klem, P. Kooijman, S. Kooikman, J. S. Loos, F. LoPinto, B. Musgrave, L. E. Price, J. Schlereth, P. Schreiner, R. Singer, S. Ahlen, G. Baranko, P. Baringer, D. Blockus, B. Brabson, S. Ems, G. E. Forden, R. Fries, S. W. Gray, J. P. Guillaud, H. Neal, H. Ogren, D. Rust, P. Smith, C. Akerlof, J. Chapman, D. Errede, N. Harnew, P. Kesten, D. I. Meyer, D. Nitz, D. Rubin, A. A. Seidl, R. Thun, T. Trinko, M. Willutzky, I. Beltrami, R. De Bonte, K. K. Gan, D. Koltick, F. Loeffler, U. Mallik, R. McIlwain, D. H. Miller, C. N. Ng, B. Cork, L. Keller andJ. Va'vra:Phys. Rev. D,30, 515 (1984).CrossRefADSGoogle Scholar
  34. (34).
    P. Van Nieuwenhuizen:General Theory and Gratitation, edited byB. Bertotti, F. De Felice andA. Pascolini (D. Reidel Publ. Co., Dordrecht, 1984).Google Scholar
  35. (35).
    P. G. O. Freund:Ann. Phys. (N. Y.),84, 440 (1974).CrossRefADSGoogle Scholar
  36. (36).
    S. Weinberg:Phys. Rev. Lett.,19, 1264 (1967);A. Salam:VIII Nobel Symposium edited byN. Svartholm (Almqvist and Wiksells, Stockholm, 1968).CrossRefADSMATHGoogle Scholar
  37. (37).
    J. Ellis, M. K. Gaillard andD. V Nanopoulos:Nucl. Phys. B,106, 292 (1976).CrossRefADSGoogle Scholar
  38. (38).
    S. Weinberg:Phys. Rev. Lett.,36, 294 (1975).CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica 1985

Authors and Affiliations

  • C. Villi
    • 1
    • 2
  1. 1.Dipartimento di Fisica dell'UniversitàPadova
  2. 2.Istituto Nazionale di Fisica NucleareSezione di PadovaPadovaItaly

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