Nambu-Goto Strings from SU(N) Born-Infeld model

Abstract

The spectrum of quenched Yang-Mills theory in the large-N limit displays strings and higher dimensional extended objects. The effective dynamics of string-like excitations is encoded into area preserving Schild action. In this letter, we bridge the gap between SU(N) gauge models and fully reparametrization invariant Nambu-Goto string models by introducing an extra matrix degree of freedom in the Yang-Mills action. In the large-N limit this matrix variable becomes the world-sheet auxiliary field allowing a smooth transition between the Schild and Nambu-Goto strings. The new improved matrix model we propose here can be extended to p-branes provided we enlarge the dimensionality of the target spacetime.

11pages, no figures, LateX2e; added discussion

References in corpus (4)

• Quantum Field Theory on Noncommutative Spaces
• Komaba Lectures on Noncommutative Solitons and D-Branes
• The QCD Membrane
• p-Branes from Generalized Yang-Mills Theory

Cited by in corpus (4)

• Born-Infeld Gravity in any Dimension
• Static potential from spontaneous breaking of scale symmetry
• On the large N limit, W_\infty Strings, Star products, AdS/CFT Duality, Nonlinear Sigma Models on AdS spaces and Chern-Simons p-branes
• On Wilson Loops and Confinement without Supersymmetry from Composite Antisymmeric Tensor Field theories