Aspects of Confinement in Low Dimensions

Details Aspects of Confinement in Low Dimensions Aspects of Confinement in Low Dimensions

2004-09-22

arxiv.org/abs/cond-mat/0409602v2

Physics

Condensed Matter

Strongly Correlated Electrons

Contribution to Ian Kogan memorial volume, World Scientific

Scientific paper

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.

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