English

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

Strongly Correlated Electrons 2009-11-10 v1

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/0312257,
  title  = {Composite operators and algebra constraints: a formalism for highly interacting systems},
  author = {Ferdinando Mancini},
  journal= {arXiv preprint arXiv:cond-mat/0312257},
  year   = {2009}
}

Comments

18 pages

R2 v1 2026-07-22T10:57:45.829Z