Composite operators and algebra constraints: a formalism for highly interacting systems

Details Composite operators and algebra constraints: a formalism for highly interacting systems Composite operators and algebra constraints: a formalism for highly interacting systems

2003-12-10

arxiv.org/abs/cond-mat/0312257v1

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages

Scientific paper

10.1063/1.1639593

A formalism for the study of highly interacting electronic systems is presented. The proposed scheme is based on two key concepts: composite operators and algebra constraints. Composite field operators, that naturally appear as a consequence of interaction, are promoted to the rank of basic fields in terms of which a perturbation formulation is set up. The formalism is based on the use of Green's function and equation of motion method. The use of composite operators requires a revisitation of the Green's function formulation, where the representation is determined by means of algebra constraints which are a manifestation at macroscopic level of the algebra rules and symmetry properties obeyed at microscopic level.

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