Replica treatment of the Calogero-Sutherland model

DOI10.1016/S0550-3213(01)00326-1zbMath0971.81195arXivcond-mat/0102405OpenAlexW2084939881MaRDI QIDQ5942527

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Publication date: 29 August 2001

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0102405

zbMATH Keywords

density-density correlation functionintegral identityJack polynomials

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Hypergeometric functions associated with root systems (33C67)

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Vortex nucleation in a dissipative variant of the nonlinear Schrödinger equation under rotation ⋮ Coulomb and Riesz gases: The known and the unknown ⋮ Form factor approach to dynamical correlation functions in critical models ⋮ Entanglement negativity in extended systems: a field theoretical approach ⋮ One-body reduced density matrix of trapped impenetrable anyons in one dimension ⋮ Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation ⋮ Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kähler manifolds ⋮ Integrable aspects of universal quantum transport in chaotic cavities

Cites Work

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• Fractional statistics in one dimension: View from an exactly solvable model
• Some combinatorial properties of Jack symmetric functions
• Applications of the Dotsenko-Fateev integral in random-matrix models
• Random matrix theory and \(\zeta(1/2+it)\).

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