Theoretical and Mathematical Physics

, Volume 66, Issue 1, pp 53–60 | Cite as

Scalar fields and dynamical torsion in Kaluza-Klein theories

  • I. V. Volovich
  • M. O. Katanaev
Article

Keywords

Scalar Field 

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Literature Cited

  1. 1.
    T. Kaluza, Sitzungsber. Preuss. Akad. Wiss.,54, 966 (1921).Google Scholar
  2. 2.
    O. Klein, Z. Phys.,37, 895 (1926).Google Scholar
  3. 3.
    A. Einstein and P. Bergmann, Ann. Math.,39, 683 (1938).Google Scholar
  4. 4.
    B. DeWitt, in: Relativity, Groups and Topology, Gordon and Breach, New York (1964).Google Scholar
  5. 5.
    R. Kerner, Ann. Inst. Henri Poincaré,9, 143 (1968).Google Scholar
  6. 6.
    A. Trautman, Rep. Math. Phys.,1, 29 (1970).Google Scholar
  7. 7.
    Y. M. Cho, J. Math. Phys.,16, 2029 (1975).Google Scholar
  8. 8.
    L. N. Chang, K. I. Macrae, and F. Mansouri, Phys. Lett. B,57, 59 (1975); Phys. Rev. D,13, 235 (1976).Google Scholar
  9. 9.
    J. Scherk and J. H. Schwarz, Phys. Lett. B,57, 463 (1975); Nucl. Phys. B,153, 61 (1979).Google Scholar
  10. 10.
    E. Cremmer and J. Scherk, Nucl. Phys. B,103, 399 (1976);108, 409 (1976).Google Scholar
  11. 11.
    G. Domokos and S. Kovesi-Domokos, Nuovo Cimento A,44, 318 (1978).Google Scholar
  12. 12.
    J. F. Luciani, Nucl. Phys. B,135, 111 (1978).Google Scholar
  13. 13.
    E. Witten, Nucl. Phys. B,186, 412 (1981).Google Scholar
  14. 14.
    A. Salam and J. Strathdee, Ann. Phys. (N.Y.),141, 316 (1982).Google Scholar
  15. 15.
    D. V. Volkov and V. I. Tkach, Teor. Mat. Fiz.,51, 171 (1982).Google Scholar
  16. 16.
    Y. M. Cho and P. G. O. Freund, Phys. Rev. D,12, 1711 (1975).Google Scholar
  17. 17.
    M. A. Awada, Phys. Lett. B,127, 415 (1983).Google Scholar
  18. 18.
    R. Coquereaux and A. Jadczyk, Commun. Math. Phys.,90, 79 (1983).Google Scholar
  19. 19.
    R. Percacci and S. Ranjbar-Daemi, J. Math. Phys.,24, 807 (1983).Google Scholar
  20. 20.
    C. Wetterich, Nucl. Phys. B,223, 109 (1983).Google Scholar
  21. 21.
    E. Witten, “Fermion quantum numbers in Kaluza-Klein theories,” Preprint, Princeton (1983).Google Scholar
  22. 22.
    H. Weyl, Phys. Rev.,77, 699 (1950).Google Scholar
  23. 23.
    F. W. Hehl, P. von der Heyde, G. D. Kerlick, and J. M. Nester, Rev. Mod. Phys.,48, 393 (1976).Google Scholar
  24. 24.
    D. E. Neville, Phys. Rev. D,18, 3535 (1978).Google Scholar
  25. 25.
    S. Ramaswamy and P. B. Yasskin, Phys. Rev. D,19, 2264 (1979).Google Scholar
  26. 26.
    K. Hayashi and T. Shirafuji, Prog. Theor. Phys.,64, 2222 (1980).Google Scholar
  27. 27.
    A. V. Minkevich, Phys. Lett. A,80, 232 (1980).Google Scholar
  28. 28.
    E. Sezgin and P. van Nieuwenhuizen, Phys. Rev. D,21, 3269 (1980).Google Scholar
  29. 29.
    R. Rauch, J. C. Shaw, and H.-T. Nieh, Gen. Rel. Grav.,14, 331 (1982).Google Scholar
  30. 30.
    M. Blagojević and I. A. Nikolić, Phys. Rev. D,28, 2455 (1983).Google Scholar
  31. 31.
    S. Miyamoto, T. Nakano, T. Ohtani, and Y. Tamura, Prog. Theor. Phys.,69, 1236 (1983).Google Scholar
  32. 32.
    P. Baekler and F. W. Hehl, Phys. Lett. A,100, 392 (1984).Google Scholar
  33. 33.
    W. Kopczynski, Acta Phys. Pol. B,10, 365 (1979).Google Scholar
  34. 34.
    F. G. Basombrio, Gen. Rel. Grav.,12, 109 (1980).Google Scholar
  35. 35.
    C. A. Orzalesi and M. Pauri, Phys. Lett. B,107, 186 (1981).Google Scholar
  36. 36.
    M. O. Katanaev, Teor. Mat. Fiz.,56, 246 (1983).Google Scholar
  37. 37.
    I. Bars and S. W. MacDowell, Phys. Lett. B,129, 182 (1983).Google Scholar
  38. 38.
    R. E. Kallosh, Phys. Lett. B,143, 373 (1984).Google Scholar
  39. 39.
    S. Weinberg, Phys. Lett. B,138, 41 (1984).Google Scholar
  40. 40.
    B. A. Arbuzov, Zh. Eksp. Teor. Fiz.,46, 1285 (1964).Google Scholar
  41. 41.
    B. A. Arbuzov and A. T. Filippov, Zh. Eksp. Teor. Fiz.,51, 1389 (1966).Google Scholar
  42. 42.
    L. B. Okun, Physics of Elementary Particles [in Russian], Nauka, Moscow (1984).Google Scholar
  43. 43.
    A. A. Ansel'm, N. G. Ural'tsev, and V. A. Khoze, Usp. Fiz. Nauk,145, 185 (1985).Google Scholar
  44. 44.
    B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko, Modern Geometry [in Russian], Nauka, Moscow (1979).Google Scholar
  45. 45.
    L. Alvarez-Gammé and E. Witten, Nucl. Phys. B,234, 269 (1983).Google Scholar
  46. 46.
    E. Cremmer and B. Julia, Phys. Lett. B,80, 48 (1978).Google Scholar
  47. 47.
    A. A. Slavnov and L. D. Faddeev, Introduction to the Quantum Theory of Gauge Fields [in Russian], Nauka, Moscow (1978).Google Scholar
  48. 48.
    L. D. Faddeev and S. L. Patashvili, Teor. Mat. Fiz.,60, 206 (1984).Google Scholar
  49. 49.
    L. D. Faddeev, Phys. Lett. B,145, 81 (1984).Google Scholar
  50. 50.
    A. N. Redlich, Phys. Rev. Lett.,52, 18, (1984).Google Scholar
  51. 51.
    L. Alvarex-Gaumé and E. Witten, Nucl. Phys. B,234, 269 (1984).Google Scholar
  52. 52.
    S. Deser, R. Jackiw, and S. Templeton, Ann. Phys. (N.Y.),140, 372 (1982).Google Scholar
  53. 53.
    E. R. Nissimov and S. J. Pacheva, Phys. Lett. B,146, 227 (1984).Google Scholar
  54. 54.
    D. E. Neville, Phys. Rev. D,21, 2075 (1980).Google Scholar

Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • I. V. Volovich
  • M. O. Katanaev

There are no affiliations available

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