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Sphaleron and level crossing
Affiliation:1. State Key Laboratory of Information Photonics and Optical Communications, School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;2. School of Economics and Management, Beijing University of Posts and Telecommunications, Beijing 100876, China;3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, China;4. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal AL-35762, USA;5. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;6. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa
Abstract:We study the fermionic hamiltonian in the standard electroweak theory in the presence of a sphaleron. We show that there exists a normalizable solution of the zero energy Dirac equation. We explicitly calculate the zero mode using a simple variational ansatz for the sphaleron radial functions.
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