Aspects of Confinement in Low Dimensions
arXiv:cond-mat/0409602 · doi:10.1142/9789812775344_0019
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.
Contribution to Ian Kogan memorial volume, World Scientific