Exact Renormalization Group and Loop Variables: A Background Independent Approach to String Theory
arXiv:1508.03692 · doi:10.1142/S0217751X15300550
Abstract
This paper is a self contained review of the Loop Variable approach to string theory. The Exact Renormalization Group is applied to a world sheet theory describing string propagation in a general background involving both massless and massive modes. This gives interacting equations of motion for the modes of the string. Loop variable techniques are used to obtain gauge invariant equations. Since this method is not tied to flat space time or any particular background metric, it is manifestly background independent. The technique can be applied to both open and closed strings. Thus gauge invariant and generally covariant interacting equations of motion can be written for massive higher spin fields in arbitrary backgrounds. Some explicit examples are given.
Latex; 95 pages
References in corpus (6)
- Connection between the Loop Variable Formalism and the Old Covariant Formalsm for the Open Bosonic String
- Gauge Invariance and Equations of Motion for Closed String Modes
- Loop Variables and Gauge Invariant Exact Renormalization Group Equations for (Open) String Theory
- Loop Variables and Gauge Invariant Exact Renormalization Group Equations for (Open) String Theory -II
- Loop Variables and Gauge Invariant Exact Renormalization Group Equations for Closed String Theory
- Background Independence, Gauge Invariance and Equations of Motion for Closed String Modes