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Cold Atoms and the Conformal Bootstrap
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Cold Atoms and the Conformal Bootstrap. |
| 개인저자 | Squires, Joshua William. |
| 단체저자명 | Cornell University. Physics. |
| 발행사항 | [S.l.]: Cornell University., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 118 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
| ISBN | 9781088348048 |
| 학위논문주기 | Thesis (Ph.D.)--Cornell University, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Leclair, Andre. |
| 이용제한사항 | This item must not be sold to any third party vendors. |
| 요약 | Statistical mechanics naturally lends itself to computational algorithms that use random sampling to leverage the law of large numbers. Though these methods have proven invaluable, in many cases yielding solutions to otherwise intractable problems, to an extent they also obscure the underlying physics. The two numerical methods studied in this thesis do not fit this description. The first, the conformal bootstrap, imposes symmetry constraints on the four-point correlation functions of a conformal field theory to restrict the spectrum of allowed scaling dimensions of a theory. A variation of the conformal bootstrap is implemented to treat two important non-unitary CFTs, percolation and the self-avoiding walk. The second involves a formalism which provides an integral equation with a kernel based on the two-body S-matrix. The solution of this integral equation represents a single particle's energy in the presence of interactions with the rest of a cold atom gas. The formalism is applied to Berezinskii-Kosterlitz-Thouless and upper branch phase transitions. |
| 일반주제명 | Statistical physics. Quantum physics. Theoretical physics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
