Interacting Fermion Systems from Two Dimensional QCD

1993/09/08 by Joseph A. Minahan, Alexios P. Polychronakos · 7 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #cond-mat #hep-th

paper · pdf · doi:10.1016/0370-2693(94)91324-2

published as Phys.Lett. B326 (1994) 288-294 · 11 pages, UVA-93-11, CERN-TH-6994/93

arxiv created 1993/09/08 · openalex publication_date 1994/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Generalized Calogero models through reductions by discrete symmetries
• On the equivalence of the rational Calogero-Moser system to free particles
• The orthogonal eigenbasis and norms of eigenvectors in the spin Calogero - Sutherland model
• Collective field formulation of the multi-species Calogero model and its duality symmetries
• A new large N phase transition in YM2
• Dynamical correlation functions and finite-size scaling in the Ruij senaars-Schneider model
• Unified algebraic approach to few- and many-body correlated systems