SU(N) reduced, quenched, gauge theories have been shown to be related to st
ring theories. We extend this result and show how a 4-dimensional, reduced,
quenched, Yang-Mills theory, supplemented by the topological term, can be
related through the Wigner-Weyl-Moyal correspondence to an open 3-brane mod
el. The boundary of the 3-brane is described by a Chern-Simons 2-brane. We
identify the bulk of the 3-brane with the interior of a hadronic bag and th
e world-volume of the Chern-Simons 2-brane with the dynamical boundary of t
he bag. We estimate the value of the induced bag constant to be a Little le
ss than 200 MeV. (C) 2001 Elsevier Science B.V. All rights reserved.