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Towards the quantization of integrable non-linear sigma models
Descriptive
TitleInfo
Title
Towards the quantization of integrable non-linear sigma models
Name
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Kotousov
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Gleb
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1992-
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Gleb Kotousov
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author
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Lukyanov
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Sergei
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Sergei Lukyanov
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Advisory Committee
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chair
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Rutgers University
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degree grantor
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School of Graduate Studies
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school
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theses
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2019
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2019-10
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English
Abstract
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The class of integrable Non-Linear Sigma Models (NLSM) have many interesting applications in Quantum Field Theory, Condensed Matter Physics and String Theory. However, despite being integrable, their study still presents many challenges. In this thesis the quantization of integrable NLSM is considered within the framework of the Quantum Inverse Scattering Method (QISM). The main focus are the O(3) and O(4) NLSM and their integrable deformations. On these examples, we will encounter and discuss the long-standing conceptual challenges of quantizing NLSM in general. A key technical tool, that will allow us to make progress, is the so-called ODE/IQFT correspondence. Among the results presented in this thesis is a new approach to the problem with non-ultralocality; a study of the integrable structures in the O(3) model as well as its deformation; and a remarkable relation between the Casimir energies of the deformed O(4) model and certain solutions of the modified sinh-Gordon equation.
Subject
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Topic
Physics and Astronomy
Subject
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Topic
Sigma particles
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Rutgers University Electronic Theses and Dissertations
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ETD_10065
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1 online resource (xiv, 214 pages) : illustrations
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Ph.D.
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Includes bibliographical references
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School of Graduate Studies Electronic Theses and Dissertations
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rucore10001600001
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doi:10.7282/t3-c6vz-9290
Genre
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ETD doctoral
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Rights
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The author owns the copyright to this work.
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Name
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Kotousov
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Gleb
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Permission or license
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2019-05-27 16:35:48
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Gleb Kotousov
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Rutgers University. School of Graduate Studies
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Author Agreement License
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I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
Copyright
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Copyright protected
Availability
Status
Open
Reason
Permission or license
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2019-06-22T17:09:57
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2019-06-22T17:09:57
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