A proof of quark confinement in QCD

Abstract

I propose to reformulate the gauge field theory as the perturbative deformation of a novel topological quantum field theory. It is shown that this reformulation leads to quark confinement in QCD${}_4$. Similarly, the fractional charge confinement is also derived in the strong coupling phase of QED${}_4$. As a confinement criterion, we use the area decay of the expectation value of the Wilson loop.

Comments: 4 pages, Latex, Talk given at the 3rd Intern. conference on Quark Confinement and the Hadron Spectrum, 7-12 June 1998, Jefferson Lab., Newport News, VA, USA