ALGEBRAIC SCHRODINGER REPRESENTATION OF QUANTUM CHROMODYNAMICS IN TEMPORAL GAUGE AND RESOLUTION OF CONSTRAINTS

The algebraic formalism of QCD is expounded in order to demonstrate th e resolution of Gauss constraints on the quantum lever. In the algebra ic approach energy eigenstates of QCD in temporal gauge are represente d in an algebraic GNS-basis. The corresponding Hilbert space is mapped into a functional space of generating functional states. The image of the QGD-Heisenbeg dynamics becomes a functional energy equation for t hese states. In the same manner the Gauss constraints are mapped into functional space. In functional space the Gauss constraints can be exa ctly resolved. The resolutions are defined by nonperturbative recurren ce relations. The longitudinal color electric energy can be expressed by means of these resolvents, which leads to ''dressed'' color Coulomb forces in temporal gauge. Although present in the system, the longitu dinal vector potentials do not affect its energy eigenvalues. This lea ds to a selfconsistent subsystem within the functional energy equation in temporal gauge which has to be identified with a functional energy equation in Coulomb gauge. In addition this procedure implies a clear conception for the incorporation of various algebraic representations into the formal Heisenberg dynamics and establishes the algebraic ''S chrodinger'' equation for QCD in functional space.