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Spatially compact solutions and stabilization in Einstein-Yang-Mills-Higgs theories
Péter Forgács1, Sébastien Reuillon
1Laboratoire de Mathématiques et PhysiqueThéorique, CNRS-UMR 6083, Université de Tours, Parc de Grandmont, 37200 Tours, France.
Physical Review Letters
|August 11, 2005
Summary
Researchers present new solutions for Einstein-Yang-Mills-Higgs equations, revealing stable spacetime configurations. Some solutions exhibit a novel stabilization phenomenon dependent on the W boson to Planck mass ratio.
Area of Science:
- Theoretical Physics
- Mathematical Physics
- Quantum Field Theory
Background:
- The study addresses the static, spherically symmetric Einstein-Yang-Mills-Higgs equations.
- Focuses on solutions involving the Higgs field in triplet and doublet representations.
Purpose of the Study:
- To present new, regular spacetime solutions to the Einstein-Yang-Mills-Higgs equations.
- To analyze the stability of these solutions, particularly those with nodeless Yang-Mills amplitudes.
- To investigate a novel stabilization phenomenon in certain solutions.
Main Methods:
- Derivation of continuous families of solutions parametrized by the ratio of W boson mass to Planck mass (alpha).
- Analysis of spacetime regularity and spatial compactness.
- Linear stability analysis with respect to spherically symmetric perturbations.
Main Results:
- New, regular spacetime solutions with spatially compact sections were found.
- A class of nodeless Yang-Mills amplitude solutions demonstrated linear stability.
- A new stabilization phenomenon was identified where unstable modes disappear as alpha varies.
Conclusions:
- The presented solutions offer new insights into the complex interplay of gravity, Yang-Mills fields, and Higgs fields.
- The discovered stabilization phenomenon provides a unique mechanism for enhancing the stability of certain field configurations.
- These findings contribute to a deeper understanding of fundamental physics within the framework of Einstein-Yang-Mills-Higgs theory.
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