The QCD $M$embrane

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.Spallucci³

Dipartimento di Fisica Teorica dell'Università,

Istituto Nazionale di Fisica Nucleare, Sezione di Trieste,

Strada Costiera 11, 34014-Trieste, Italy

Abstract:

In this paper we study spatially quenched, $SU(N)$ Yang-Mills theory in the large-$N$ limit. The resulting reduced action shows the same formal look as the Banks-Fischler-Shenker-Susskind $M$-theory action. The Weyl-Wigner-Moyal symbol of this matrix model is the Moyal deformation of a $p(\, =2\,)$-brane action. Thus, the large-$N$ limit of the spatially quenched $SU(N)$ Yang-Mills is seen to describe a dynamical membrane. By assuming spherical symmetry we compute the mass spectrum of this object in the WKB approximation.