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020 ▼a 9781085797832
035 ▼a (MiAaPQ)AAI13811773
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 530
1001 ▼a Hategan-Marandiuc, Mihael.
24510 ▼a Entanglement Entropy in Lattice Theories.
260 ▼a [S.l.]: ▼b University of California, Davis., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 136 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
500 ▼a Advisor: Singh, Rajiv R. P.
5021 ▼a Thesis (Ph.D.)--University of California, Davis, 2019.
506 ▼a This item must not be sold to any third party vendors.
520 ▼a This dissertation is an analysis of the issues that arise in defining and entanglement entropy for lattice gauge theories. Specifically, we are interested in an entanglement entropy that is defined on the physical Hilbert space of lattice gauge theories. A definition of entanglement entropy requires a geometrically separable Hilbert space in which the physical degrees of freedom can be assigned to geometric regions. This was believed to be impossible for lattice gauge theories in general. In this thesis we show that the existing proofs behind the claims of inseparability are incorrect. We also show that one of the fundamental difficulties in achieving a consistent definition of entanglement entropy is that there is no unique notion of degrees of freedom for the Hilbert space of a given lattice theory and that this is not characteristic of lattice gauge theories, but of a more general nature. This does not make a definition of entanglement entropy impossible, but ambiguous. We show how possible definitions can be obtained in various lattice theories and what the trade-offs are.
590 ▼a School code: 0029.
650 4 ▼a Theoretical physics.
690 ▼a 0753
71020 ▼a University of California, Davis. ▼b Physics.
7730 ▼t Dissertations Abstracts International ▼g 81-04B.
773 ▼t Dissertation Abstract International
790 ▼a 0029
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15490717 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1816162
991 ▼a E-BOOK