Collective Field Formulation of the Multispecies Calogero Model and its Duality Symmetries

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dc.creatorBardek, V.
dc.creatorFeinberg, J.
dc.creatorMeljanac, S.
dc.date2006-11-14
dc.date2006-12-02
dc.date.accessioned2026-07-07T11:23:07Z
dc.date.available2026-07-07T11:23:07Z
dc.descriptionWe study the collective field formulation of a restricted form of the multispecies Calogero model, in which the three-body interactions are set to zero. We show that the resulting collective field theory is invariant under certain duality transformations, which interchange, among other things, particles and antiparticles, and thus generalize the well-known strong-weak coupling duality symmetry of the ordinary Calogero model. We identify all these dualities, which form an Abelian group, and study their consequences. We also study the ground state and small fluctuations around it in detail, starting with the two-species model, and then generalizing to an arbitrary number of species.
dc.descriptionlatex, 53 pages, no figures;v2-minor changes (a paragraph added following eq. (61))
dc.identifierhttps://arxiv.org/abs/hep-th/0611159
dc.identifierhttp://arxiv.org/abs/hep-th/0611159
dc.identifierNucl.Phys.B767:295-326,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.01.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194791
dc.subjectHigh Energy Physics - Theory
dc.subjectStrongly Correlated Electrons
dc.subjectMathematical Physics
dc.titleCollective Field Formulation of the Multispecies Calogero Model and its Duality Symmetries
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