The BF formalism for QCD and quark confinement Original Research Article

Using the BF version of pure Yang-Mills, it is possible to find a covariant representation of the ʹt Hooft magnetic flux operator. In this framework, ʹt Hooftʹs pioneering work on confinement finds an explicit realization in the continuum. Employing the Abelian projection gauge we compute the expectation value of the magnetic variable and find the expected perimeter law. We also check the area law behavior for the Wilson loop average and compute the string tension which turns out to be of the right order of magnitude.