A reintroduction of dynamical SU(2) gauge fields in Hubbard models

TL;DR

This paper revisits dynamical SU(2) gauge fields within Hubbard models, explaining their origin as effective dynamics in hopping particle systems, motivated by recent advances in optical lattice research.

Contribution

It provides an explicit model incorporating link and plaquette terms, reintroducing non-Abelian gauge fields into Hubbard models for the first time since the 1990s.

Findings

Explicit SU(2) gauge magnet model with link and plaquette interactions

Connection to recent optical lattice developments

Historical reintroduction of non-Abelian gauge fields in condensed matter models

Abstract

This is a preprint from 1990, in which it is explained how non-Abelian gauge magnets originate as effective dynamics in models of hopping particles. In particular, an explicit model is discussed in which both link and plaquette terms appear. The motivation (as explained in a brief apology) to reintroduce the idea is some recent theoretical progress on the topic of optical lattices.