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Unraveling vortices and strings in gauge field theory

Published on:

25 September 2023

Primary Category:

Mathematical Physics

Paper Authors:

Lei Cao,

Shouxin Chen

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Key Details

The paper introduces a modified Abelian-Higgs model and deduces corresponding Bogomolny equations

Sharp existence theorems are established for vortices and strings over the full plane

Vortex solutions are unique when m < 0; strings exist under a condition on total string number

Decay estimates are obtained, showing the solutions vanish at infinity

AI generated summary

Unraveling vortices and strings in gauge field theory

This paper studies vortices and cosmic strings arising from a generalized Abelian Higgs model. It constructs vortex-like and string-like topological solitons and establishes existence theorems and asymptotic properties. The content is presented clearly for a general audience by focusing on the model, its solutions, and main results.

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