Unitarity and Lorentz in variance in QCD for a variety of gauges

Abstract

We generalise the Kugo and Ojima formalism henceforth called KO) for the structure of state space in gauge theories, in four respects:- (i) We allow for a more general class of gauge-fixing including non-covariant cases. (ii) We display the two possible Hamiltonians allowed by the KO action. (iii) We give manifestly Lorentz invariant forms of KO, showing that they are not unique. (iv) We analyse the structure of Fock space, proving that the allowed states span exactly half of it (leaving aside pure transverse states).