SU(2) QCD in the Path Representation: General Formalism and Mandelstam Indentities

Details SU(2) QCD in the Path Representation: General Formalism and Mandelstam Indentities SU(2) QCD in the Path Representation: General Formalism and Mandelstam Indentities

1993-05-02

arxiv.org/abs/hep-lat/9305001v2

Nucl.Phys.B448:67-92,1995

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX 33 pages (6 figures included), IFFC-93-07

Scientific paper

10.1016/0550-3213(95)00157-N

We introduce a path-dependent hamiltonian representation (the path 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 other involving the end points of the paths.

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