Abstract
We propose a general and systematic method for the study of correlated Fermi systems, based on an auxiliary slave boson representation and a self-consistent partial resummation of Feynman diagrams. The time-independent local constraint is treated in the saddle point approximation, rendering the theory tractable both in the impurity and lattice cases. Our approach avoids slave boson condensation and preserves local gauge invariance. We apply the method to the one-impurity, infinite- U Anderson model as a test case, and discuss how unphysical singularities present in earlier theories may be eliminated.
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