On the Supergravity Evaluation of Wilson Loop Correlators in Confining Theories

We explicitly show the area law behavior of a circular Wilson loop in confining theories from supergravity. We calculate the correlator of two Wilson loops from supergravity in confining backgrounds. We find that it is dominated by an exchange of a ``scalarball'' that is lighter than the glueballs. We interpret these results in terms of the meson-meson potential in such theories.Comment: Latex, 13 pages, 2 figure

The "Dual" Variables Of Yang-Mills Theory And Local Gauge Invariant Variables

After adding auxiliary fields and integrating out the original variables, the Yang-Mills action can be expressed in terms of local gauge invariant variables. This method reproduces the known solution of the two dimensional $SU(N)$ theory. In more than two dimensions the action splits into a topological part and a part proportional to $\alpha_s$. We demonstrate the procedure for $SU(2)$ in three dimensions where we reproduce a gravity-like theory. We discuss the four dimensional case as well. We use a cubic expression in the fields as a space-time metric to obtain a covariant Lagrangian. We also show how the four-dimensional $SU(2)$ theory can be expressed in terms of a local action with six degrees of freedom only.Comment: 34pp, LaTeX, Corrections in reference

The string tension in massive QCD2QCD_2

We compute the string tension in massive $QCD_2$. It is shown that the string tension vanishes when the mass of the dynamical quark is zero, with no dependence on the representations of the dynamical or of the external charges. When a small mass ($m\ll e$) is added, a tension appears and we calculate its value as a function of the representations.Comment: 10 pages, Late