LDR | | 00000nam u2200205 4500 |
001 | | 000000431890 |
005 | | 20200224110321 |
008 | | 200131s2019 ||||||||||||||||| ||eng d |
020 | |
▼a 9781088310700 |
035 | |
▼a (MiAaPQ)AAI13899197 |
040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
082 | 0 |
▼a 530 |
100 | 1 |
▼a Streicher, Alexandre Albert. |
245 | 10 |
▼a Quantum Chaos, Operator Growth, and Holography. |
260 | |
▼a [S.l.]:
▼b University of California, Santa Barbara.,
▼c 2019. |
260 | 1 |
▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2019. |
300 | |
▼a 189 p. |
500 | |
▼a Source: Dissertations Abstracts International, Volume: 81-04, Section: B. |
500 | |
▼a Advisor: Marolf, Donald. |
502 | 1 |
▼a Thesis (Ph.D.)--University of California, Santa Barbara, 2019. |
506 | |
▼a This item must not be sold to any third party vendors. |
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▼a The exact role of the internal degrees of freedom (a.k.a. d.o.f.) in holography is not well-understood. Thus, in this thesis, we study a toy model of holography without space: the Sachdev-Ye-Kitaev (SYK) Model. This 0+1 theory of all possible 4-body interactions of N fermion "flavors"/"colors" features a low energy limit reproducing aspects of 1+1 Jackiw-Teitelboim gravity. First, we show that the inherent discreteness of the quantum spectrum results in universal late-time behavior due to eigenvalue repulsion. We then note that the theory's four-point functions probe the phenomenon of operator growth, where an internal d.o.f. goes on to epidemically evolve into larger products of internal d.o.f.s. In this manner where small operators smoothly grow into superpositions of increasing products of operators, we observe a sort of "size" locality, which is intimately tied with the notion of a conformal primary "descending" along its descendants. In fact, we find that the underlying structure of the SYK epidemic limits to that of a probe particle falling into a AdS2 black hole. In other words, similar to how nearest neighbor interactions lead to dynamics on a flat space background, we demonstrate that many internal interactions lead to dynamics on a higher dimensional geometry. |
590 | |
▼a School code: 0035. |
650 | 4 |
▼a Theoretical physics. |
690 | |
▼a 0753 |
710 | 20 |
▼a University of California, Santa Barbara.
▼b Physics. |
773 | 0 |
▼t Dissertations Abstracts International
▼g 81-04B. |
773 | |
▼t Dissertation Abstract International |
790 | |
▼a 0035 |
791 | |
▼a Ph.D. |
792 | |
▼a 2019 |
793 | |
▼a English |
856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15492033
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
980 | |
▼a 202002
▼f 2020 |
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▼a ***1008102 |
991 | |
▼a E-BOOK |