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Prog. Theor. Phys. 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*
Department of Physics, Tokyo Metropolitan University, Setagaya-ku, Tokyo 158
*Institute of Physics, University of Tokyo, Komaba, Meguro-ku, Tokyo 153
(Received August 1, 1977)
Abstract:
In this sequel the anomalies of the Virasoro algebra and the Poincaré algebra of the free string are calculated in the hypothetical space-time in continuous dimensions. The light-like gauge is employed. The role of the center-of-mass variables is analyzed in the framework established in the preceding paper. The method of dimensional regularization is applied on the basis of the theory hyperfunctions, which provides us with a more general concept than the analytic continuation with respect to the dimensionality. It is concluded that the above anomalies disappear, thus removing the origin of the critical dimension derived in the light-like gauge.
URL :
http://ptp.ipap.jp/link?PTP/59/274/
DOI : 10.1143/PTP.59.274
References:
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