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From the S-Matrix to the Lattice: Bootstrapping QFTs- [electronic resource]
![From the S-Matrix to the Lattice: Bootstrapping QFTs - [electronic resource]](/Users/Baul/Images/book.png)
From the S-Matrix to the Lattice: Bootstrapping QFTs- [electronic resource]
상세정보
- 자료유형
- 학위논문파일 국외
- 최종처리일시
- 20240214100450
- ISBN
- 9798379604264
- DDC
- 530.1
- 저자명
- Gabai, Barak.
- 서명/저자
- From the S-Matrix to the Lattice: Bootstrapping QFTs - [electronic resource]
- 발행사항
- [S.l.]: : Harvard University., 2023
- 발행사항
- Ann Arbor : : ProQuest Dissertations & Theses,, 2023
- 형태사항
- 1 online resource(181 p.)
- 주기사항
- Source: Dissertations Abstracts International, Volume: 84-12, Section: B.
- 주기사항
- Advisor: Yin, Xi.
- 학위논문주기
- Thesis (Ph.D.)--Harvard University, 2023.
- 사용제한주기
- This item must not be sold to any third party vendors.
- 초록/해제
- 요약In this thesis, I present our attempts to formulate new bootstrap approaches to Quantum Field Theories. The main goal of these approaches is to offer complementary techniques to the Effective Field Theory paradigm. Namely, techniques that allow one to constrain IR observables using UV knowledge. For example, we may assume the existence of a local UV completion or detailed information about a UV lattice description.The first approach we present utilizes S-matrix bootstrap to turn "experimental" data, the low energy scattering phase, into rigorous information about the existence or nonexistence of resonances in a two-dimensional theory of massive particles. As a zeroth step towards generalization to higher dimensions, we also report on progress in the study of scattering in Chern-Simons theory coupled to fundamental matter, which we hope will enable formulation of its S-matrix bootstrap problem in the near future. It will be the first S-matrix bootstrap problem studied in which Anyonic properties are directly involved. In order to set up the second approach, we have studied the line operators that can appear in the conformal Chern-Simons theory coupled to fundamental matter. Their endpoints are the Anyons of the conformal theory. The lines obey constraints from conformal symmetry and a set of loop equations which allow setting up a bootstrap for correlators of straight lines.In the third approach, we show that equations of motion together with reflection positivity severely constrain correlators of the Ising statistical model on the lattice. Namely, we derive rigorous two-sided bounds on spin correlators through semi-definite programming.
- 일반주제명
- Theoretical physics.
- 일반주제명
- Quantum physics.
- 키워드
- S-matrix
- 키워드
- UV lattice
- 기타저자
- Harvard University Physics
- 기본자료저록
- Dissertations Abstracts International. 84-12B.
- 기본자료저록
- Dissertation Abstract International
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520240214100450
■006m o d
■007cr#unu||||||||
■020 ▼a9798379604264
■035 ▼a(MiAaPQ)AAI30491985
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530.1
■1001 ▼aGabai, Barak.▼0(orcid)0000-0002-6374-642X
■24510▼aFrom the S-Matrix to the Lattice: Bootstrapping QFTs▼h[electronic resource]
■260 ▼a[S.l.]:▼bHarvard University. ▼c2023
■260 1▼aAnn Arbor :▼bProQuest Dissertations & Theses, ▼c2023
■300 ▼a1 online resource(181 p.)
■500 ▼aSource: Dissertations Abstracts International, Volume: 84-12, Section: B.
■500 ▼aAdvisor: Yin, Xi.
■5021 ▼aThesis (Ph.D.)--Harvard University, 2023.
■506 ▼aThis item must not be sold to any third party vendors.
■520 ▼aIn this thesis, I present our attempts to formulate new bootstrap approaches to Quantum Field Theories. The main goal of these approaches is to offer complementary techniques to the Effective Field Theory paradigm. Namely, techniques that allow one to constrain IR observables using UV knowledge. For example, we may assume the existence of a local UV completion or detailed information about a UV lattice description.The first approach we present utilizes S-matrix bootstrap to turn "experimental" data, the low energy scattering phase, into rigorous information about the existence or nonexistence of resonances in a two-dimensional theory of massive particles. As a zeroth step towards generalization to higher dimensions, we also report on progress in the study of scattering in Chern-Simons theory coupled to fundamental matter, which we hope will enable formulation of its S-matrix bootstrap problem in the near future. It will be the first S-matrix bootstrap problem studied in which Anyonic properties are directly involved. In order to set up the second approach, we have studied the line operators that can appear in the conformal Chern-Simons theory coupled to fundamental matter. Their endpoints are the Anyons of the conformal theory. The lines obey constraints from conformal symmetry and a set of loop equations which allow setting up a bootstrap for correlators of straight lines.In the third approach, we show that equations of motion together with reflection positivity severely constrain correlators of the Ising statistical model on the lattice. Namely, we derive rigorous two-sided bounds on spin correlators through semi-definite programming.
■590 ▼aSchool code: 0084.
■650 4▼aTheoretical physics.
■650 4▼aQuantum physics.
■653 ▼aS-matrix
■653 ▼aQuantum field theories
■653 ▼aBootstrap problem
■653 ▼aAnyonic properties
■653 ▼aUV lattice
■690 ▼a0753
■690 ▼a0599
■71020▼aHarvard University▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g84-12B.
■773 ▼tDissertation Abstract International
■790 ▼a0084
■791 ▼aPh.D.
■792 ▼a2023
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16932378▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
■980 ▼a202402▼f2024
