Existence, regularity, and behavior of isotropic solutions of classical gauge field theories
Thesis/Dissertation
·
OSTI ID:6181995
We study isotropic, finite action solutions of certain classical gauge field theories, namely the Abelian-Higgs model in two Euclidean dimensions and the Yang-Mills Higgs model in three Euclidean dimensions. We prove the existence of vortex solutions with arbitrary vortex number and monopole solutions with arbitrary isospin in these respective models, verify that the solutions are smooth everywhere, and give a detailed description of the asymptotic behavior of the solutions at infinity. In particular we prove that the (classical) Higgs phenomenon takes place and we precisely determine the masses of the gauge and Higgs fields: an interesting outcome is that the mass of the Higgs field cannot exceed twice the mass of the gauge field. Our proofs employ variational methods from non-linear functional analysis and techniques from the theory of ordinary differential equations.
- Research Organization:
- Princeton Univ., NJ (USA)
- OSTI ID:
- 6181995
- Country of Publication:
- United States
- Language:
- English
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