New path integral representation for Hubbard model: I. Supercoherent state

TL;DR

This paper introduces a novel path integral formulation for the Hubbard model using supercoherent states derived from atomic eigenfunctions, enabling advanced analysis of strongly correlated electronic systems.

Contribution

It develops a new supercoherent state framework and exact nonlinear supergroup representation for the Hubbard model, bridging it with gauge field theory techniques.

Findings

Constructed supercoherent states from atomic eigenfunctions

Derived exact nonlinear supergroup representation

Formalism applicable to strongly correlated systems

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 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.