Loop Variables in String Theory
arXiv:hep-th/0207098 · doi:10.1142/S0217751X03012126
Abstract
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.
52 pages, Latex file, 1 figure
References in corpus (5)
Cited by in corpus (13)
- Gauge Invariant Exact Renormalization Group and Perfect Actions in the Open Bosonic String Theory
- Loop Variables and the (Free) Open String in a Curved Background
- Loop Variables with Chan-Paton Factors
- Loop Variables and Gauge Invariance in Closed Bosonic String Theory
- Connection between the Loop Variable Formalism and the Old Covariant Formalsm for the Open Bosonic String
- Gauge Invariant Action for the Open Bosonic String: Tachyon Action
- Loop Variables and Gauge Invariant Exact Renormalization Group Equations for (Open) String Theory
- Loop Variables and Gauge Invariant Exact Renormalization Group Equations for Closed String Theory
- Action for (Free) Open String Modes in AdS Space Using the Loop Variable Approach
- Holomorphic Factorization and Renormalization Group in Closed String Theory
- Exact Renormalization Group and Loop Variables: A Background Independent Approach to String Theory
- Loop Variables and the Interacting Open String in a Curved Background
- Gauge Invariant Action for the Open Bosonic String