자료유형 | 학위논문 |
---|---|
서명/저자사항 | Entanglement Entropy in Lattice Theories. |
개인저자 | Hategan-Marandiuc, Mihael. |
단체저자명 | University of California, Davis. Physics. |
발행사항 | [S.l.]: University of California, Davis., 2019. |
발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
형태사항 | 136 p. |
기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
ISBN | 9781085797832 |
학위논문주기 | Thesis (Ph.D.)--University of California, Davis, 2019. |
일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Singh, Rajiv R. P. |
이용제한사항 | This item must not be sold to any third party vendors. |
요약 | 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. |
일반주제명 | Theoretical physics. |
언어 | 영어 |
바로가기 | ![]() |