Interacting Fermion Systems from Two Dimensional QCD
High Energy Physics - Theory
2009-10-22 v1 Condensed Matter
Abstract
We consider two dimensional U(N) QCD on the cylinder with a timelike Wilson line in an arbitrary representation. We show that the theory is equivalent to N fermions with internal degrees of freedom which interact among themselves with a generalized Sutherland-type interaction. By evaluating the expectation value of the Wilson line in the original theory we explicitly find the spectrum and degeneracies of these particle systems.
Cite
@article{arxiv.hep-th/9309044,
title = {Interacting Fermion Systems from Two Dimensional QCD},
author = {Joseph A. Minahan and Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:hep-th/9309044},
year = {2009}
}
Comments
11 pages, UVA-93-11, CERN-TH-6994/93