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Sphaleron solutions and their phenomenology in the electroweak theory

Heldeweg, Tomas (2018) Sphaleron solutions and their phenomenology in the electroweak theory. Master's Thesis / Essay, Physics.


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The absence of anti-matter in the universe necessitates a process that violates the baryon number in the early universe. Such a process is found through sphaleron transitions in the electroweak theory. The sphaleron is an unstable static finite-energy solution to the classical field equations. It is a saddle point of the energy functional and its energy is associated with the height of the potential barrier between vacuum states with different winding numbers. Transition between topologically distinct vacua realize a violation of the baryon number through the ABJ anomaly. In the early universe temperatures are high enough so that transitions over the barrier could occur via thermal excitation. It is possible that such a transition could also occur in high energy collisions if the center of mass energy is comparable to the energy of the sphaleron. Here an overview of the construction of the SU(2) sphaleron is given. Furthermore, the probability of detecting a sphaleron transition in a high energy collision experiment is discussed.

Item Type: Thesis (Master's Thesis / Essay)
Supervisor name: Boer, D.
Degree programme: Physics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 30 Jul 2018
Last Modified: 31 Jul 2018 12:23

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