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Stable Cosmic Vortons in Bosonic Field Theory.
1Jodrell Bank Centre for Astrophysics, Department of Physics and Astronomy, School of Natural Sciences, University of Manchester, Manchester M13 9PL, United Kingdom.
Physical Review Letters
|December 24, 2021
Summary
Stable superconducting ring solutions in gauged U(1)×U(1) field theory are confirmed to be stable. Gradient flow construction and analysis provide strong evidence for their stability against perturbations, validating theoretical models.
Area of Science:
- Theoretical physics
- Cosmology
- Condensed matter physics
Background:
- Superconducting charge and current can support stable ring solutions in gauged U(1)×U(1) field theory.
- Previous theoretical work suggested the existence of these solutions.
Purpose of the Study:
- To construct and verify the stability of potentially cosmologically relevant ring solutions.
- To provide strong evidence for stability against various perturbations.
- To compare numerical results with theoretical predictions.
Main Methods:
- Construction of solutions using gradient flow.
- Analysis of stability against axial and nonaxial perturbations.
- Quantitative comparison with semianalytic predictions from thin string approximation.
Main Results:
- Potentially cosmologically relevant stable ring solutions were constructed for the first time using gradient flow.
- The strongest evidence to date for stability against both axial and nonaxial perturbations was presented.
- Quantitative agreement was shown with predictions from the thin string approximation.
Conclusions:
- Gradient flow is a viable method for constructing stable superconducting ring solutions.
- These solutions are robustly stable, supporting their potential cosmological relevance.
- The findings validate world sheet action approaches for understanding the formation and evolution of such structures.
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