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Prog. Theor. Phys. Vol. 57 No. 2 (1977) pp. 632-642

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

Yūichi Chikashige and Yasunori Fujii*

Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188
and
*Institute of Physics, University of Tokyo, Tokyo 153

(Received July 21, 1976)

Abstract:

The anomalous c-number term of the Virasoro algebra in the string model is analyzed in terms of the field theory in the two-dimensional Minkowski space-time, which, called the internal space-time, is obtained by transforming the basic variables, τ and σ describing the motion of relativistic strings. It is shown that the anomaly disappears if one allows the dimensionality of the internal space-time to be continuous and goes to the limit of two dimensions.


URL : http://ptp.ipap.jp/link?PTP/57/632/
DOI : 10.1143/PTP.57.632

[ Full Text PDF : FREE ACCESS (853K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 57 No. 3 (1977) pp. 1038-1054 :
    Field Theory in 2+ε Dimensions and Critical Dimension in the String Model. II
    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