Nontopological Condensates for the Self‐Dual Chern‐Simons‐Higgs Model |
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| Authors: | Manuel del Pino Pierpaolo Esposito Pablo Figueroa Monica Musso |
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| Institution: | 1. Universidad de Chile, Departamento de Ingeniería Matemática and CMM, Casilla 170, Correo 3, Santiago, Chile;2. Universitá degli Studi “Roma Tre”, Dipartimento di Matematica e Fisica, Rome, Italy;3. Pontificia Universidad Católica de Chile, Departamento de Matemática, Macul, Santiago, Chile |
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| Abstract: | For the abelian self‐dual Chern‐Simons‐Higgs model we address existence issues of periodic vortex configurations—the so‐called condensates—of nontopological type as k → 0, where k > 0 is the Chern‐Simons parameter. We provide a positive answer to the longstanding problem on the existence of nontopological condensates with magnetic field concentrated at some of the vortex points (as a sum of Dirac measures) as k → 0, a question that is of definite physical interest. © 2015 Wiley Periodicals, Inc. |
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