Methods to determine the Hausdorff dimension of vortex loops in the three-dimensional XY model

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dc.creatorCamarda, M.
dc.creatorSiringo, F.
dc.creatorPucci, R.
dc.creatorSudbo, A.
dc.creatorHove, J.
dc.date2006-07-31
dc.date.accessioned2026-07-07T07:16:15Z
dc.date.available2026-07-07T07:16:15Z
dc.descriptionThe geometric properties of critical fluctuations in the 3D XY model are analyzed. The 3D XY model is a lattice model describing superfluids. We present a direct evaluation of the Hausdorff dimension D_H of the vortex loops which are the critical fluctuations of the 3D XY model. We also present analytical arguments for why \vartheta in the scaling relation η_ϕ + D_H = 2 + \vartheta between D_H and the anomalous scaling dimension of the corresponding field theory, must be zero.
dc.descriptionTo appear in Phys. Rev. B
dc.identifierhttps://arxiv.org/abs/cond-mat/0607830
dc.identifierhttp://arxiv.org/abs/cond-mat/0607830
dc.identifierPhys. Rev. B 74, 104507 (2006)
dc.identifierdoi:10.1103/PhysRevB.74.104507
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113520
dc.subjectSuperconductivity
dc.titleMethods to determine the Hausdorff dimension of vortex loops in the three-dimensional XY model
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