The Donaldson-Witten Invariants in Pure QCD with Order and Disorder 't Hooft-like Operators

Abstract

We study the first-order formalism of pure four-dimensional $\mathrm{SU}(2)$ Yang--Mills theory with theta-term. We describe the Green functions associated to electric and magnetic flux operators à la 't~Hooft by means of gauge-invariant non-local operators. These Green functions are related to Witten's invariants of four-manifolds.

Comments: 12 pages, LaTeX file, no macros used. Revised Version