Classical and quantum aspects of non-linear sigma models with a squashed sphere target space
2022-07
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Classical and quantum aspects of non-linear sigma models with a squashed sphere target space
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2022-07
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Various aspects of non-linear sigma models with an SU(N) x U(1) symmetric target space are considered. In the case N=2, three-dimensional topological defects are discussed which are relevant for frustrated magnetic systems and which may offer a new perspective on the Skyrme model. An apparent discrepancy between the large N expansion and the weak coupling expansion noted earlier in the literature is reviewed and clarified. A systematic approach to the operator product expansion at sub-leading order in large N is developed and the spinon two-point function is expanded as a trans-series in which all ambiguities in the Borel plane are shown to cancel.
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University of Minnesota Ph.D. dissertation. 2022. Major: Physics. Advisor: Mikhail Shifman. 1 computer file (PDF); 192 pages.
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Schubring, Daniel. (2022). Classical and quantum aspects of non-linear sigma models with a squashed sphere target space. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/241710.
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