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Non-Perturbative Approaches to Strongly-Coupled Gauge Theory
Non-Perturbative Approaches to Strongly-Coupled Gauge Theory
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202105115
- ISBN
- 9798293899647
- DDC
- 593.7
- 서명/저자
- Non-Perturbative Approaches to Strongly-Coupled Gauge Theory
- 발행사항
- [Sl] : Princeton University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 284 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-04, Section: B.
- 주기사항
- Advisor: Pufu, Silviu.
- 학위논문주기
- Thesis (Ph.D.)--Princeton University, 2025.
- 초록/해제
- 요약The Standard Model of particle physics includes quantum chromodynamics, which is a non-abelian gauge theory. Such theories are known to be strongly coupled in the infrared limit. Thus, understanding the particles we observe in nature requires non-perturbative techniques for calculating observables in strongly-coupled gauge theories. This thesis explores three such techniques.The first, discretized lightcone quantization, has been employed for many decades to study gauge theories in 1 + 1 dimensions. In Chapter 2, we study adjoint QCD2 with Nc colors using this technique, first in the Nc → ∞ limit and then at finite Nc. We focus in particular on the affine symmetry algebra preserved even in the discretized theory, and use it to demonstrate that probe quarks are deconfined in the presence of massless adjoint fermions.The second, Hamiltonian lattice gauge theory, also has a decades-long history. In Chapter 3, we show that it can be made dramatically more accurate for U(1) gauge theory by using a mass shift prescription that restores a form of the anomalous chiral symmetry on the lattice. We then show how to construct a Hamiltonian lattice formulation of adjoint QCD2, obtaining results that agree with those in Chapter 2 and go further.The third, the (super)conformal bootstrap, is a modern approach for placing bounds on field theories using convex optimization. In Chapter 4, we first show how to augment the bootstrap to include integral constraints on four-point correlators derived from supersymmetric localization. By applying this technique to N = 4 super-Yang-Mills theory, we are able to find bounds on scaling dimensions and operator product expansion coefficients that are sensitive to the Yang-Mills coupling, providing a non-perturbative completion of known weak-coupling and strong-coupling limits. We then apply similar methods to the three-dimensional N = 8 theory of Aharony, Bergman, Jafferis, and Maldacena, obtaining very precise bounds that come with implications for M-theory.
- 일반주제명
- Particle physics
- 일반주제명
- Quantum physics
- 일반주제명
- Theoretical physics
- 일반주제명
- Computational physics
- 키워드
- Gauge theory
- 키워드
- Supersymmetry
- 키워드
- M-theory
- 기타저자
- Princeton University Physics
- 기본자료저록
- Dissertations Abstracts International. 87-04B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520260202105115
■006m o d
■007cr#unu||||||||
■020 ▼a9798293899647
■035 ▼a(MiAaPQ)AAI32237412
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a593.7
■1001 ▼aDempsey, Stephen Ross.▼0(orcid)0000-0002-0881-8814
■24510▼aNon-Perturbative Approaches to Strongly-Coupled Gauge Theory
■260 ▼a[Sl]▼bPrinceton University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a284 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-04, Section: B.
■500 ▼aAdvisor: Pufu, Silviu.
■5021 ▼aThesis (Ph.D.)--Princeton University, 2025.
■520 ▼aThe Standard Model of particle physics includes quantum chromodynamics, which is a non-abelian gauge theory. Such theories are known to be strongly coupled in the infrared limit. Thus, understanding the particles we observe in nature requires non-perturbative techniques for calculating observables in strongly-coupled gauge theories. This thesis explores three such techniques.The first, discretized lightcone quantization, has been employed for many decades to study gauge theories in 1 + 1 dimensions. In Chapter 2, we study adjoint QCD2 with Nc colors using this technique, first in the Nc → ∞ limit and then at finite Nc. We focus in particular on the affine symmetry algebra preserved even in the discretized theory, and use it to demonstrate that probe quarks are deconfined in the presence of massless adjoint fermions.The second, Hamiltonian lattice gauge theory, also has a decades-long history. In Chapter 3, we show that it can be made dramatically more accurate for U(1) gauge theory by using a mass shift prescription that restores a form of the anomalous chiral symmetry on the lattice. We then show how to construct a Hamiltonian lattice formulation of adjoint QCD2, obtaining results that agree with those in Chapter 2 and go further.The third, the (super)conformal bootstrap, is a modern approach for placing bounds on field theories using convex optimization. In Chapter 4, we first show how to augment the bootstrap to include integral constraints on four-point correlators derived from supersymmetric localization. By applying this technique to N = 4 super-Yang-Mills theory, we are able to find bounds on scaling dimensions and operator product expansion coefficients that are sensitive to the Yang-Mills coupling, providing a non-perturbative completion of known weak-coupling and strong-coupling limits. We then apply similar methods to the three-dimensional N = 8 theory of Aharony, Bergman, Jafferis, and Maldacena, obtaining very precise bounds that come with implications for M-theory.
■590 ▼aSchool code: 0181.
■650 4▼aParticle physics
■650 4▼aQuantum physics
■650 4▼aTheoretical physics
■650 4▼aComputational physics
■653 ▼aGauge theory
■653 ▼aQuantum field theory
■653 ▼aSupersymmetry
■653 ▼aM-theory
■653 ▼aHamiltonian lattice gauge theory
■690 ▼a0798
■690 ▼a0599
■690 ▼a0753
■690 ▼a0216
■71020▼aPrinceton University▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g87-04B.
■790 ▼a0181
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359411▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
