Second quantization approach to characteristic polynomials in RMT

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dc.creatorGangardt, Dimitry M.
dc.date2000-11-07
dc.date.accessioned2026-07-07T10:54:21Z
dc.date.available2026-07-07T10:54:21Z
dc.descriptionThe distribution of the characteristic polynomial $Z(U,θ)$ of $N\times N$ matrices $U$ in the Circular Unitary Ensemble is studied by the method of second quantization for one-dimensional fermions. For infinite $N$ the Gaussian distribution of $Z(U,θ)$ is established straightforwardly by bosonization. A general expression for the $n$-point correlation function of the characteristic polynomial at different points is given by this method. The case of finite $N$ is discussed.
dc.descriptionLaTeX, 7 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/nlin/0011014
dc.identifierhttp://arxiv.org/abs/nlin/0011014
dc.identifierJ.Phys.A34:3553-3560,2001
dc.identifierdoi:10.1088/0305-4470/34/17/303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185777
dc.subjectChaotic Dynamics
dc.subjectExactly Solvable and Integrable Systems
dc.titleSecond quantization approach to characteristic polynomials in RMT
dc.typetext

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