Expressing Products of Fermi Fields in terms of Fermi Sea Displacements

dc.creatorSetlur, Girish S.
dc.date1997-01-29
dc.date1997-06-14
dc.date.accessioned2026-07-07T09:02:37Z
dc.date.available2026-07-07T09:02:37Z
dc.descriptionAn attempt is made to generalise the ideas introduced by Haldane and others regarding Bosonizing the Fermi surface. The present attempt involves introduction of Bose fields that correspond to displacements of the Fermi sea rather than just the Fermi surface. This enables the study of short wavelength fluctuations of the Fermi surface and hence the dispersion of single particle excitations with high energy. The number conserving product of two Fermi fields is represented as a simple combination of these Bose fields. It is shown that most(!) commutation rules involving these number conserving products are reproduced exactly, as are the dynamical correlation functions of the free theory. Also the work of Sharp, Menikoff and Goldin has shown that the field operator may be viewed as a unitary representation of the current algebra. An explicit realisation of this unitary representation is given in terms of canonical conjugate of the density operator.
dc.descriptionPlain Tex, 27 pages, lots of algebra, "all commutation rules" replaced by "most commutation rules" are recovered exactly
dc.identifierhttps://arxiv.org/abs/cond-mat/9701206
dc.identifierhttp://arxiv.org/abs/cond-mat/9701206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148696
dc.subjectStrongly Correlated Electrons
dc.titleExpressing Products of Fermi Fields in terms of Fermi Sea Displacements
dc.typetext

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