Partial continuum limit of the 2D Hubbard model
Strongly Correlated Electrons
2023-09-22 v1 Mathematical Physics
math.MP
Abstract
An effective quantum field theory of the 2D Hubbard model on a square lattice near half-filling is presented and studied. This effective model describes so-called nodal and antinodal fermions, and it is derived from the lattice model using a certain partial continuum limit. It is shown that the nodal fermions can be bosonized, which leads to spin-charge separation and a 2D analogue of a Wess-Zumino-Witten model. A bosonization formula for the nodal fermion field operator is obtained, and an exactly solvable model of interacting 2D fermions is identified. Different ways of treating the antinodal fermions are also proposed.
Cite
@article{arxiv.2309.11936,
title = {Partial continuum limit of the 2D Hubbard model},
author = {Jonas de Woul and Edwin Langmann},
journal= {arXiv preprint arXiv:2309.11936},
year = {2023}
}
Comments
This paper was written in 2011 and revised in 2012. 41 pages, 1 figure