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Existence of the Ginzburg--Landau Vortex Number

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Abstract:

The existence of the Ginzburg–Landau vortex number is established for any configuration with finite action. As a consequence, Bogomol'nyi's formula for the critical action is valid for any finite action configuration.

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Authors and Affiliations

  1. Department of Mathematics, Linköping University, 581 83 Linköping, Sweden.¶E-mail: maaig@mai.liu.se, , , , , , SE

    Mats Aigner

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  1. Mats Aigner
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Received: 16 November 1999 / Accepted: 7 July 2000

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Aigner, M. Existence of the Ginzburg--Landau Vortex Number. Commun. Math. Phys. 216, 17–22 (2001). https://doi.org/10.1007/s002200000319

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  • DOI: https://doi.org/10.1007/s002200000319

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