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Anomalous Dimensions in the WF O(N) Model with a Monodromy Line Defect
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2017 (English)Student paper other, 10 credits / 15 HE creditsStudent thesis
Abstract [en]

General ideas in the conformal bootstrap program are covered. Both numerical and analytical approaches to the bootstrap equation are reviewed to show how it can be manipulated in different ways. Further analytical approaches are studied for theories with defects. We consider the three-dimensional CFT at the corresponding WF fixed point in the O(N) \phi^4 model with a co-dimension two, monodromy defect. Anomalous dimensions for bulk- and defect-local fields as well as one of the OPE coefficients are found to the first loop order. Implications of inserting this defect and constraints that arises from symmetries of the theory are investigated.

Place, publisher, year, edition, pages
2017. , p. 54
Series
FYSAST ; FYSPROJ1069
Keywords [en]
Anomalous Dimensions, WF, O(N) Model, phi^4 theory, Monodromy Line Defect, Co-Dimension Two, 3 Dimensions, CFT, 3D, Dimensional, Conformal Field Theory, Quantum Field Theory, QFT
National Category
Other Physics Topics
Identifiers
URN: urn:nbn:se:uu:diva-317546OAI: oai:DiVA.org:uu-317546DiVA, id: diva2:1082161
Educational program
Master Programme in Physics
Presentation
2017-02-16, Oseenska, Ångström, Uppsala, 15:00 (English)
Supervisors
Examiners
Available from: 2017-03-23 Created: 2017-03-15 Last updated: 2017-03-23Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
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Output format
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