Volume-dependent field theories
| dc.contributor.advisor | Freed, Daniel S. | |
| dc.contributor.advisor | Ben-Zvi, David, 1974- | |
| dc.contributor.committeeMember | Distler, Jacques | |
| dc.contributor.committeeMember | Perutz, Timothy | |
| dc.creator | Wedeen, Richard | |
| dc.date.accessioned | 2024-07-12T17:13:31Z | |
| dc.date.available | 2024-07-12T17:13:31Z | |
| dc.date.created | 2023-12 | |
| dc.date.issued | 2023-12 | |
| dc.date.submitted | December 2023 | |
| dc.date.updated | 2024-07-12T17:13:32Z | |
| dc.description.abstract | We develop the axiom system proposed by Kontsevich and Segal (2021) to define volume-dependent field theories (VFTs), a class of non-topological quantum field theories whose dependence on the background metric factors through the associated density. We construct a well-defined Lorentzian limit of a Wick-rotated VFT defined on smooth, possibly degenerate Lorentzian bordisms with incoming and outgoing boundary both nonempty. When the VFT is reflection positive, this extends the main theorem of Kontsevich and Segal (2021). | |
| dc.description.department | Mathematics | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | ||
| dc.identifier.uri | https://hdl.handle.net/2152/126022 | |
| dc.identifier.uri | https://doi.org/10.26153/tsw/52567 | |
| dc.language.iso | en | |
| dc.subject | Nuclear pair | |
| dc.subject | Lorentzian limit | |
| dc.subject | Volume-dependent field theory | |
| dc.subject | Reflection positivity | |
| dc.subject | Wick rotation | |
| dc.subject | Quantum field theory | |
| dc.title | Volume-dependent field theories | |
| dc.type | Thesis | |
| dc.type.material | text | |
| thesis.degree.department | Mathematics | |
| thesis.degree.grantor | The University of Texas at Austin | |
| thesis.degree.name | Doctor of Philosophy |
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