Non-integrability of Gross-Neveu systems

DOI10.1016/j.physd.2004.12.002zbMath1088.37028OpenAlexW2008694719WikidataQ104404957 ScholiaQ104404957MaRDI QIDQ1776989

Tomasz Stachowiak, Andrzej J. Maciejewski, Maria Przybylska

Publication date: 12 May 2005

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2004.12.002

zbMATH Keywords

Hamiltonian systemsGross-Neveu modelsMorales-Ramis theoryNonintegrabilityDifferential Galois group

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Equilibrium statistical mechanics (82B99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Motion of the gyroscope (70E05)

Related Items

DIFFERENTIAL GALOIS THEORY AND INTEGRABILITY ⋮ Note on integrability of certain homogeneous Hamiltonian systems in 2D constant curvature spaces ⋮ On the polynomial integrability of the critical systems for optimal eigenvalue gaps ⋮ Integrability of Hamiltonian systems and differential Galois groups of higher variational equations ⋮ Classical nonintegrability of a quantum chaotic \(SU(3)\) Hamiltonian system ⋮ Non-integrability of generalised Charlier and Saint-Germain problem

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