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Prog. Theor. Phys. Vol. 57 No. 3 (1977) pp. 1038-1054

[ Full Text PDF : FREE ACCESS (993K) ]

Field Theory in 2+ε Dimensions and Critical Dimension in the String Model. II

Yūichi Chikashige and Yasunori Fujii*

Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188
*Institute of Physics, University of Tokyo, Komaba, Meguro-ku, Tokyo 153

(Received July 21, 1976)

Abstract:

The critical dimension in the string model is analysed in terms of the field theory in the two-dimensional Minkowski space-time which is obtained by transforming the basic variables τ and σ. It is proposed to allow the dimensionality of this internal space-time to be continuous and go to the limit of two dimensions. The theory is then invariant under the Lorentz transformation in our ordinary space-time with any dimensionality including the realistic value four.


URL : http://ptp.ipap.jp/link?PTP/57/1038/
DOI : 10.1143/PTP.57.1038

[ Full Text PDF : FREE ACCESS (993K) ] Citation:

References:

  1. Y. Chikashige and Y. Fujii, Prog. Theor. Phys. 57 (1977), 632[PTP].
  2. P. Goddard, J. Goldstone, C. Rebbi and C. B. Thorn, Nucl. Phys. B 56 (1973), 109[CrossRef].
  3. Y. Chikashige and K. Kamimura, Prog. Theor. Phys. 54 (1975), 251[PTP].
  4. S. Ferrara, A. F. Grillo and R. Gatto, Nuovo Cim. A 12 (1972), 959.
    S. Fubini, A. J. Hanson and R. Jackiw, Phys. Rev. D 7 (1973), 1732[APS].
  5. Y. Nambu, Lectures at the Compenhagen Summer Symposium (1970).
    T. Gotō, Prog. Theor. Phys. 46 (1971), 1560[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 57 No. 2 (1977) pp. 632-642 :
    Field Theory in 2 + ε Dimensions and Critical Dimension in the String Model. I
    Yūichi Chikashige and Yasunori Fujii
  2. Progress of Theoretical Physics Vol. 58 No. 3 (1977) pp. 991-1006 :
    Current Commutator Anomaly Regularized Dimensionally by Means of Hyperfunctions
    Yasunori Fujii and Kotaro Mima
  3. Progress of Theoretical Physics Vol. 58 No. 6 (1977) pp. 1984-1997 :
    Lorentz Invariant String Regularized Dimensionally by Means of Hyperfunctions. I
    Yūichi Chikashige, Yasunori Fujii and Kotaro Mima
  4. Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 274-288 :
    Lorentz Invariant String Regularized Dimensionally by Means of Hyperfunctions. II
    Yūichi Chikashige, Yasunori Fujii and Kotaro Mima

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