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Prog. Theor. Phys. Vol. 46 No. 4 (1971) pp. 1218-1247
Generalized Transformation Functional of a Continuum Model of the Dual Amplitude
Takeshi Shirafuji
Department of Physics, Saitama University, Urawa, Saitama 338
(Received March 15, 1971)
Abstract:
The aim of this paper is to clarify the space-time picture of the functional integral formulation of the duality theory. It is shown that the functional underlying in this formulation can be considered as Dirac's generalized transformation functional (g.t.f.) of the position operator of an elastic string. The g.t.f. can be introduced only in the Euclidean metric theory. Several postulates are imposed on it. A functional differential equation of the g.t.f. is obtained. A manifestly crossing symmetric coupling scheme of the string with external sources is set up on the basis of the g.t.f. in the Euclidean framework; physical amplitude is obtained by analytic continuation with respect to the external momenta from the Euclidean region to the Minkowskian region. A few elementary consequences for the scattering amplitude in this scheme are obtained.
URL :
http://ptp.ipap.jp/link?PTP/46/1218/
DOI : 10.1143/PTP.46.1218
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