Tensor Networks for Operator-Algebraic Constructions of Gauge Theories
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Quantum field theory (QFT) is a conceptual framework for understanding the behaviour of subatomic particles—the most successful, mathematically rigorous formulation of QFT is in the language of operator algebras. In this thesis, we describe the construction of specific kinds of QFTs using operator-algebraic methods. Once we have described their construction in detail, we use tensor network methods (which are at the centre of modern quantum physics) to build approximations of these QFTs. We finish with a discussion on the relationship between our tensor networks and those used in toy models of the AdS/CFT correspondence.
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Copyright © 2022 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner.
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- 2022
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gow-tensornetworksforoperatoralgebraicconstructions.pdf | 2023-05-05 | Public | Download |