Solving the Frustrated Spherical Model with q-Polynomials

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dc.creatorCappelli, Andrea
dc.creatorColomo, Filippo
dc.date1997-10-08
dc.date.accessioned2026-07-07T10:53:51Z
dc.date.available2026-07-07T10:53:51Z
dc.descriptionWe analyse the Spherical Model with frustration induced by an external gauge field. In infinite dimensions, this has been recently mapped onto a problem of q-deformed oscillators, whose real parameter q measures the frustration. We find the analytic solution of this model by suitably representing the q-oscillator algebra with q-Hermite polynomials. We also present a related Matrix Model which possesses the same diagrammatic expansion in the planar approximation. Its interaction potential is oscillating at infinity with period log(q), and may lead to interesting metastability phenomena beyond the planar approximation. The Spherical Model is similarly q-periodic, but does not exhibit such phenomena: actually its low-temperature phase is not glassy and depends smoothly on q.
dc.descriptionLatex, 14 pages, 2 eps figures
dc.identifierhttps://arxiv.org/abs/hep-th/9710071
dc.identifierhttp://arxiv.org/abs/hep-th/9710071
dc.identifierJ.Phys.A31:3141-3151,1998
dc.identifierdoi:10.1088/0305-4470/31/14/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185623
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.titleSolving the Frustrated Spherical Model with q-Polynomials
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