Loop Variables and Gauge Invariant Exact Renormalization Group Equations for (Open) String Theory
arXiv:1202.4298 · doi:10.1016/j.nuclphysb.2012.04.006
Abstract
An exact renormalization group equation is written down for the world sheet theory describing the bosonic open string in general backgrounds. Loop variable techniques are used to make the equation gauge invariant. This is worked out explicitly up to level 3. The equation is quadratic in the fields and can be viewed as a proposal for a string field theory equation. As in the earlier loop variable approach, the theory has one extra space dimension and mass is obtained by dimensional reduction. Being based on the sigma model RG, it is background independent. It is intriguing that in contrast to BRST string field theory, the gauge transformations are not modified by the interactions up to the level calculated. The interactions can be written in terms of gauge invariant field strengths for the massive higher spin fields and the non zero mass is essential for this. This is reminiscent of Abelian Born-Infeld action (along with derivative corrections) for the massless vector field, which is also written in terms of the field strength.
Latex file, 40 pages.Some typos corrected and cosmetic changes
References in corpus (5)
- Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
- Strong Coupling BCS Superconductivity and Holography
- Connection between the Loop Variable Formalism and the Old Covariant Formalsm for the Open Bosonic String
- Gauge Invariant Exact Renormalization Group and Perfect Actions in the Open Bosonic String Theory
- Gauge Invariant Action for the Open Bosonic String: Tachyon Action
Cited by in corpus (4)
- Gauge Invariance and Equations of Motion for Closed String Modes
- Loop Variables and Gauge Invariant Exact Renormalization Group Equations for Closed String Theory
- Exact Renormalization Group and Loop Variables: A Background Independent Approach to String Theory
- Background Independence, Gauge Invariance and Equations of Motion for Closed String Modes