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


S. Ansoldi1
Dipartimento di Fisica Teorica dell'Università,
Istituto Nazionale di Fisica Nucleare, Sezione di Trieste,
Strada Costiera 11, 34014-Trieste, Italy


C. Castro2
Center for Theoretical Studies of Physical Systems
Clark Atlanta University, Atlanta, GA30314


E. I. Guendelman3
Physics Department, Ben Gurion University,
Beer Sheva, Israel


E.Spallucci4
Dipartimento di Fisica Teorica dell'Università,
Istituto Nazionale di Fisica Nucleare, Sezione di Trieste,
Strada Costiera 11, 34014-Trieste, Italy


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.




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Stefano Ansoldi