English

New path integral representation for Hubbard model: II. Spinless case

Strongly Correlated Electrons 2010-06-09 v1 Mathematical Physics math.MP

Abstract

The Hubbard model is used to study an electronic system. In this paper we present the new path integral representation for Hubbard model. We have constructed the new supercoherent state for spinless electrons which appears from a set of eigenfunctions of atomic limit of strongly correlated systems. Exact calculation of nonlinear representation of a supergroup has been carried. This group defines the transformation of atomic base. The general formalism we elaborate for Hubbard model is the one widely used in the gauge field theory of the nonlinear representation of a superconformal group.

Keywords

Cite

@article{arxiv.1006.1511,
  title  = {New path integral representation for Hubbard model: II. Spinless case},
  author = {V. Zharkov and V. Kirchanov},
  journal= {arXiv preprint arXiv:1006.1511},
  year   = {2010}
}
R2 v1 2026-06-21T15:33:20.322Z