Periodic Instantons in SU(2) Yang-Mills-Higgs Theory
G. Bonini, S. Habib, E. Mottola, C. Rebbi, R. Singleton, and P., Tinyakov
TL;DR
This paper analyzes periodic instanton solutions in SU(2) Yang-Mills-Higgs theory, providing analytical insights at low energies and numerical results across a broad energy spectrum, revealing new bifurcating solutions.
Contribution
It introduces new classes of bifurcating complex periodic instanton solutions and offers a comprehensive analysis of their properties both analytically and numerically.
Findings
Analytical description of low-energy solutions
Numerical solutions beyond sphaleron energy
Discovery of bifurcating complex instanton solutions
Abstract
The properties of periodic instanton solutions of the classical SU(2) gauge theory with a Higgs doublet field are described analytically at low energies, and found numerically for all energies up to and beyond the sphaleron energy. Interesting new classes of bifurcating complex periodic instanton solutions to the Yang-Mills-Higgs equations are described.
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