Loop Variables in String Theory

Details Loop Variables in String Theory Loop Variables in String Theory

2002-07-11

arxiv.org/abs/hep-th/0207098v1

Int.J.Mod.Phys. A18 (2003) 767-810

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, Latex file, 1 figure

Scientific paper

10.1142/S0217751X03012126

The loop variable approach is a proposal for a gauge invariant generalization of the sigma-model renormalization group method of obtaining equations of motion in string theory. The basic guiding principle is space-time gauge invariance rather than world-sheet properties. In essence it is a version of Wilson's exact renormalization group equation for the world sheet theory. It involves all the massive modes and is defined with a finite world-sheet cutoff, which allows one to go off the mass-shell. On shell the tree amplitudes of string theory are reproduced. The equations are gauge invariant off shell also. This article is a self-contained discussion of the loop variable approach as well as its connection with the renormalization group.

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