A Topological String: The Rasetti-Regge Lagrangian, Topological Quantum Field Theory, and Vortices in Quantum Fluids

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dc.creatorSpeliotopoulos, A. D.
dc.date2002-08-28
dc.date.accessioned2026-07-07T10:48:07Z
dc.date.available2026-07-07T10:48:07Z
dc.descriptionThe kinetic part of the Rasetti-Regge action I_{RR} for vortex lines is studied and links to string theory are made. It is shown that both I_{RR} and the Polyakov string action I_{Pol} can be constructed with the same field X^mu. Unlike I_{NG}, however, I_{RR} describes a Schwarz-type topological quantum field theory. Using generators of classical Lie algebras, I_{RR} is generalized to higher dimensions. In all dimensions, the momentum 1-form P constructed from the canonical momentum for the vortex belongs to the first cohomology class H^1(M,R^m) of the worldsheet M swept-out by the vortex line. The dynamics of the vortex line thus depend directly on the topology of M. For a vortex ring, the equations of motion reduce to the Serret-Frenet equations in R^3, and in higher dimensions they reduce to the Maurer-Cartan equations for so(m).
dc.descriptionTo appear in Journal of Physics A
dc.identifierhttps://arxiv.org/abs/cond-mat/0208561
dc.identifierhttp://arxiv.org/abs/cond-mat/0208561
dc.identifierJ.Phys.A35:8859-8866,2002
dc.identifierdoi:10.1088/0305-4470/35/41/316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183764
dc.subjectMesoscale and Nanoscale Physics
dc.subjectSuperconductivity
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleA Topological String: The Rasetti-Regge Lagrangian, Topological Quantum Field Theory, and Vortices in Quantum Fluids
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