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Dirac's method for constraints is used for solving the problem of exclusionof double occupancy for Correlated Electrons. The constraints are enforced bythe pair operator$Q(\vec{x})=\psi_{\downarrow}(\vec{x})\psi_{\uparrow}(\vec{x})$ whichannihilates the ground state $|\Psi^0>$. Away from half fillings the operator$Q(\vec{x})$ is replaced by a set of $first$ $class$ Non-Abelian constraints$Q^{(-)}_{\alpha}(\vec{x})$ restricted to negative energies. The propagator fora single hole away from half fillings is determined by modified measure whichis a function of the time duration of the hole propagator. As a result: a) Theimaginary part of the self energy - is linear in the frequency. At large holeconcentrations a Fermi Liquid self energy is obtained. b) For theSuperconducting state the constraints generate an asymmetric spectrumexcitations between electrons and holes giving rise to an asymmetry tunnelingdensity of states.

The Marginal Fermi Liquid - An Exact Derivation Based on Dirac's First Class Constraints Method