English

Aspects of Confinement in Low Dimensions

Strongly Correlated Electrons 2016-11-23 v2

Abstract

We briefly review some examples of confinement which arise in condensed matter physics. We focus on two instructive cases: the off-critical Ising model in a magnetic field, and an array of weakly coupled (extended) Hubbard chains in the Wigner crystal phase. In the appropriate regime, the elementary excitations in these 1+1 and quasi-one-dimensional systems are confined into `mesons'. Although the models are generically non-integrable, quantum mechanics and form factor techniques yield valuable information.

Keywords

Cite

@article{arxiv.cond-mat/0409602,
  title  = {Aspects of Confinement in Low Dimensions},
  author = {M. J. Bhaseen and A. M. Tsvelik},
  journal= {arXiv preprint arXiv:cond-mat/0409602},
  year   = {2016}
}

Comments

Contribution to Ian Kogan memorial volume, World Scientific

R2 v1 2026-07-22T11:08:16.154Z