Phys. Rev. D 55, 3800–3810 (1997)String theory in curved space-timeReceived 15 April 1996; published in the issue dated 15 March 1997 Intrinsic and extrinsic geometric properties of string world sheets in a curved space-time background are explored. In our formulation, the only dynamical degrees of freedom of the string are its immersion coordinates. A classical equation of motion and the space-time energy-momentum tensor of the string are obtained. One-loop divergent terms are calculated using the background field method. A divergent Euler characteristic term appears in this order. The condition for one-loop finiteness is derived. The results obtained here differ from those in the standard procedure. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.55.3800
DOI:
10.1103/PhysRevD.55.3800
PACS:
11.25.Pm
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