SU(2) QCD in the path representation: General formalism and Mandelstam identities Original Research Article

We introduce a path-dependent hamiltonian representation (the P representation) for SU(2) with fermions in 3 + 1 dimensions. The gauge-invariant operators and hamiltonian are realized in a Hilbert space of open path and loop functionals. We obtain two new types of Mandelstam identities: one that connects open path operators with loop operators and another involving the end points of the paths.