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Thermodynamics of Quantum Fields in Curved Space, Wormholes, and Holography
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Thermodynamics of Quantum Fields in Curved Space, Wormholes, and Holography. |
| 개인저자 | Fu, Zicao. |
| 단체저자명 | University of California, Santa Barbara. Physics. |
| 발행사항 | [S.l.]: University of California, Santa Barbara., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 259 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-05B. Dissertation Abstract International |
| ISBN | 9781088313626 |
| 학위논문주기 | Thesis (Ph.D.)--University of California, Santa Barbara, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-05, Section: B.
Advisor: Marolf, Donald. |
| 이용제한사항 | This item must not be sold to any third party vendors.This item must not be added to any third party search indexes. |
| 요약 | In this dissertation, I present research on thermodynamics of quantum fields in curved space, research on wormholes, and research on holography. In part one of this dissertation, I study various thermodynamic propositions. A particular proposition is the quantum null energy condition (QNEC), which states that the null component of the stress tensor of a quantum field theory (QFT) is bounded below by a factor times the second derivative of the von Neumann entropy of the QFT. First, I study how the change of the renormalization schemes affects the QNEC and I find that the originally proposed QNEC can be violated when it is not scheme-independent. Next, I find conditions which guarantee the scheme-independence of the QNEC in spacetimes with dimension less than six and under these conditions, I prove the QNEC for holographic QFTs in such spacetimes. Then, I propose a version of QNEC which can be valid in contexts different from the one of its original proposal. Other thermodynamic propositions and other notions of entropy are also studied.In part two of this dissertation, I study wormhole spacetimes from two distinct directions. First, I study a class of wormholes that generically become traversable after incorporating gravitational back-reaction from linear quantum fields satisfying appropriate (periodic or anti-periodic) boundary conditions around a non-contractible cycle, but with no additional boundary interactions. Second, I study the quantity ``holographic complexity'' by studying three-dimensional multi-boundary multi-genus wormholes and show that the set of quantum gates defining the holographic complexity must contain nonlocal gates.Both parts of this dissertation involve the anti-de Sitter/conformal field theory correspondence (AdS/CFT correspondence) and holographic QFTs are considered in both parts of this dissertation. The AdS/CFT correspondence states that there is a map between a gravity theory living in an asymptotically AdS spacetime (the ``bulk'') and a QFT living in a spacetime with one less dimension (the ``boundary''). It is also called the holographic duality or the bulk/boundary duality. A holographic QFT is a QFT having a bulk dual theory. |
| 일반주제명 | Astrophysics. Quantum physics. Thermodynamics. |
| 언어 | 영어 |
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