Nonperturbative flow equations from running expectation values

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dc.contributor.authorScholtz, F. G.
dc.contributor.authorBartlett, Bruce H.
dc.contributor.authorGeyer, H. B.
dc.date.accessioned2013-02-01T07:22:41Z
dc.date.available2013-02-01T07:22:41Z
dc.date.issued2003-08
dc.descriptionThe original publication is available at http://prl.aps.org/abstract/PRL/v91/i8/e080602en_ZA
dc.description.abstractWe show that Wegner’s flow equations, as recently discussed in the Lipkin model, can be solved selfconsistently. This leads to a nonlinear differential equation which fully determines the order parameter as a function of the dimensionless coupling constant, even across the phase transition. Since we consider an expansion in the fluctuations, rather than the conventional expansion in the coupling constant, convergence to the exact results is found in both phases when taking the thermodynamic limit.en_ZA
dc.description.versionPublishers' versionen_ZA
dc.identifier.citationScholtz, F. G., Bartlett, B. H. & Geyer, H. B. 2003. Nonperturbative flow equations from running expectation values. Physical Review Letters , 91(8), doi:10.1103/PhysRevLett.91.080602.en_ZA
dc.identifier.issn1079-7114 (online)
dc.identifier.issn0031-9007 (print)
dc.identifier.otherdoi:10.1103/PhysRevLett.91.080602
dc.identifier.urihttp://hdl.handle.net/10019.1/79320
dc.language.isoen_ZAen_ZA
dc.publisherAmerican Physical Society (APS)en_ZA
dc.rights.holderAmerican Physical Society (APS)en_ZA
dc.subjectNonperturbative techniquesen_ZA
dc.subjectNonlinear differential equationen_ZA
dc.subjectFlow equationsen_ZA
dc.subjectInteracting quantum systemsen_ZA
dc.titleNonperturbative flow equations from running expectation valuesen_ZA
dc.typeArticleen_ZA
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