A Twisted Kink Crystal in the Chiral Gross-Neveu model

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dc.creatorBasar, Gokce
dc.creatorDunne, Gerald V.
dc.date2008-06-16
dc.date2008-09-11
dc.date.accessioned2026-07-07T10:16:14Z
dc.date.available2026-07-07T10:16:14Z
dc.descriptionWe present the detailed properties of a self-consistent crystalline chiral condensate in the massless chiral Gross-Neveu model. We show that a suitable ansatz for the Gorkov resolvent reduces the functional gap equation, for the inhomogeneous condensate, to a nonlinear Schrödinger equation, which is exactly soluble. The general crystalline solution includes as special cases all previously known real and complex condensate solutions to the gap equation. Furthermore, the associated Bogoliubov-de Gennes equation is also soluble with this inhomogeneous chiral condensate, and the exact spectral properties are derived. We find an all-orders expansion of the Ginzburg-Landau effective Lagrangian and show how the gap equation is solved order-by-order.
dc.description28 pages, 13 figs; v2: new appendix on Eilenberger eq and refs; version in PRD
dc.identifierhttps://arxiv.org/abs/0806.2659
dc.identifierhttp://arxiv.org/abs/0806.2659
dc.identifierPhys.Rev.D78:065022,2008
dc.identifierdoi:10.1103/PhysRevD.78.065022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173437
dc.subjectHigh Energy Physics - Theory
dc.subjectSuperconductivity
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.titleA Twisted Kink Crystal in the Chiral Gross-Neveu model
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