Solving 1d plasmas and 2d boundary problems using Jack polynomials and functional relations

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dc.creatorFendley, P.
dc.creatorLesage, F.
dc.creatorSaleur, H.
dc.date1994-09-28
dc.date.accessioned2026-07-07T11:14:45Z
dc.date.available2026-07-07T11:14:45Z
dc.descriptionThe general one-dimensional ``log-sine'' gas is defined by restricting the positive and negative charges of a two-dimensional Coulomb gas to live on a circle. Depending on charge constraints, this problem is equivalent to different boundary field theories. We study the electrically neutral case, which is equivalent to a two-dimensional free boson with an impurity cosine potential. We use two different methods: a perturbative one based on Jack symmetric functions, and a non-perturbative one based on the thermodynamic Bethe ansatz and functional relations. The first method allows us to compute explicitly all coefficients in the virial expansion of the free energy and the experimentally-measurable conductance. Some results for correlation functions are also presented. The second method provides in particular a surprising fluctuation-dissipation relation between the free energy and the conductance.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9409176
dc.identifierhttp://arxiv.org/abs/hep-th/9409176
dc.identifierJ.Stat.Phys.79:799,1995
dc.identifierdoi:10.1007/BF02181204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192180
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.titleSolving 1d plasmas and 2d boundary problems using Jack polynomials and functional relations
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