HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 104 (2000) > Number 4
| Next Article >

Prog. Theor. Phys. Vol. 104 No. 4 (2000) pp. 887-891

[ Full Text PDF : FREE ACCESS (81K) ]

Letters

Divergence, Spacetime Dimension and Fractal Structure

Hiroshi Nakamura

Science Course, Kogane High School, Matsudo 270-0032, Japan

(Received July 24, 2000)

Abstract:

With a Cantor spacetime in mind, we assume the dimension of spacetime to be slightly smaller than four. Within the framework of QED, this dimension can be determined by calculating Feynman diagrams. We infer that the dimension of spacetime may be influenced by holes in space.


URL : http://ptp.ipap.jp/link?PTP/104/887/
DOI : 10.1143/PTP.104.887

[ Full Text PDF : FREE ACCESS (81K) ] Citation:

References:

  1. J. D. Barrow, Philos. Trans. Roy. Soc. London, Ser. A310 (1983), 337.
  2. H. Aoki, S. Iso, H. Kawai, Y. Kitazawa and T. Tada, Prog. Theor. Phys. 99 (1998), 713[PTP].
    V. Kaplunovsky and M. Weinstein, Phys. Rev. D31 (1985), 1879[APS].
    D. Hochberg and J. T. Wheeler, Phys. Rev. D43 (1991), 2617[APS].
    C. Lämmerzahl and A. Macias, J. Math. Phys. 34 (1993), 4540[CrossRef].
  3. Modern Kaluza-Klein Theories, ed. T. Appelquist, A. Chodos and P. G. O. Freund (Addison-Wesley, Reading, MA, 1987).
  4. M. Green, J. Schwarz and E. Witten, Superstring Theory (Cambridge University, Cambridge, England, 1986).
  5. G. 't Hooft and M. Veltman, Nucl. Phys. B44 (1972), 189.
    C. G. Bollini and J. J. Giambiagi, Phys. Lett. 40B (1972), 566.
    J. F. Ashmore, Lett. Nuovo Cim. 4 (1972), 289.
    See also, S. Narison, Phys. Rep. 84 (1982), 263[CrossRef].
  6. K. Wilson and M. E. Fisher, Phys. Rev. Lett. 28 (1972), 240[APS].
  7. B. B. Mandelbrot, Fractals ; Form, Chance and Dimension (Freeman, San Francisco, 1977); The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
  8. A. Zeilinger and K. Svozil, Phys. Rev. Lett. 54 (1985), 2553[APS].
  9. H. Kawai, N. Kawamoto, T. Mogami and Y. Watabiki, Phys. Lett. B306 (1993), 19.
    H. Aoki, H. Kawai, J. Nishimura and A. Tsuchiya, Nucl. Phys. B474 (1996), 512.
  10. Y. Nagatani, Phys. Rev. D56 (1997), 1239[APS].
  11. For a detailed discussion of this assumption, see S. S. Schweber, An Introduction To Relativistic Quantum Field Theory (Harper & Row, New York, 1966).
  12. V. W. Hughes and T. Kinoshita, Rev. Mod. Phys. 71 (1999), S133, [APS]and references therein.
  13. J. Schwinger, Phys. Rev. 76 (1949), 790[APS].
  14. B. Müller and A. Schäfer, Phys. Rev. Lett. 56 (1986), 1215[APS].

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.