Finding and solving Calogero-Moser type systems using Yang-Mills gauge theories

DOI10.1016/S0550-3213(99)00550-7zbMath0956.81095arXivmath-ph/9909019WikidataQ127646935 ScholiaQ127646935MaRDI QIDQ1572378

Edwin Langmann, Jonas Blom

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9909019

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Many-body theory; quantum Hall effect (81V70)

Related Items (7)

Novel quantum states of the rational Calogero models without the confining interaction ⋮ Goldfishing by gauge theory ⋮ Generalized spin Sutherland systems revisited ⋮ On energy-critical half-wave maps into \(\mathbb {S}^2\) ⋮ Spin Calogero models obtained from dynamical \(r\)-matrices and geodesic motion ⋮ Global well-posedness for half-wave maps with \(S^2\) and \(\mathbb{H}^2\) targets for small smooth initial data ⋮ Self-duality and scattering map for the hyperbolic van Diejen systems with two coupling parameters (with an Appendix by S. Ruijsenaars)

Cites Work

• A generalisation of the Calogero-Moser system
• Generalized Calogero models through reductions by discrete symmetries
• Generalized Calogero-Sutherland systems from many-matrix models
• Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
• On diagonalization in map(\(M\),G)
• Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory
• CONSISTENT AXIAL-LIKE GAUGE FIXING ON HYPERTORI
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