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Prog. Theor. Phys. Supplement No.86 (1986) pp. 143-158
Worldsheet Reparametrizations and the Tomonaga-Schwinger-Dirac Formalism for String Theory
Sumit R. Das and
Mark A. Rubin*
California Institute of Technology, Pasadena, CA 91125
*Fermi National Accelerator Laboratory, Batavia, IL 60510
(Received December 10, 1985)
Abstract:
We develop a Tomonaga-Schwinger-Dirac type formulation of the first quantized free bosonic string. The wave functional depends not only on the curve along which the string lies in coordinate space, but also the curve along which it lies on the worldsheet. In this formalism the Virasoro operators have natural geometric meanings. We speculate about how one might construct interacting field theories of strings on the basis of symmetries of an appended loop space.
URL :
http://ptp.ipap.jp/link?PTPS/86/143/
DOI : 10.1143/PTPS.86.143
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