An exploration of the strong coupling regime of the su(2) georgi-glashow model

Authors
Martin, Paul, Malachi
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Other Contributors
Meunier, Vincent
Brown, Ethan
Lim, Chjan
Giedt, Joel
Issue Date
2023-08
Keywords
Physics
Degree
PhD
Terms of Use
This electronic version is a licensed copy owned by Rensselaer Polytechnic Institute (RPI), Troy, NY. Copyright of original work retained by author.
Full Citation
Abstract
In this dissertation, we delve into an in-depth analysis of the $SU(2)$ Georgi-Glashow model in a four-dimensional space-time configuration, particularly emphasizing its strong coupling behavior. We systematically investigate several order parameters inherent to the model, unveiling hitherto unobserved critical phenomena within a distinct parameter range. Notably, the model has interesting topological phenomena such as monopoles. The scaling behavior of the model is juxtaposed with the pure $SU(2)$ model. Furthermore, we illuminate the phase diagram that illustrates the relationship between the magnitude of Higgs and center symmetry breaking. Our analysis reveals an interesting overlap between these phase transitions across an expansive portion of the strong coupling regime, establishing an unexpected correlation between two unrelated phase transitions. Complementing this, we extend our investigation to the $3$-dimensional $N=4$ supersymmetric Yang-Mills model, identifying minimal $Q$-closed terms and establishing that the low-level Feynman integrals are $0$. Studying this contributes to our long-term understanding of the Montonen-Olive duality in supersymmetric Yang-Mills.
Description
August2023
School of Science
Department
Dept. of Physics, Applied Physics, and Astronomy
Publisher
Rensselaer Polytechnic Institute, Troy, NY
Relationships
Rensselaer Theses and Dissertations Online Collection
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Users may download and share copies with attribution in accordance with a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 license. No commercial use or derivatives are permitted without the explicit approval of the author.
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