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Application of Contemporary Renormalization Group Techniques to Strongly-Coupled Field Theories
Application of Contemporary Renormalization Group Techniques to Strongly-Coupled Field Theories
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211152127
- ISBN
- 9798384052623
- DDC
- 593.7
- 서명/저자
- Application of Contemporary Renormalization Group Techniques to Strongly-Coupled Field Theories
- 발행사항
- [Sl] : University of Colorado at Boulder, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 291 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-03, Section: B.
- 주기사항
- Advisor: Hasenfratz, Anna.
- 학위논문주기
- Thesis (Ph.D.)--University of Colorado at Boulder, 2024.
- 초록/해제
- 요약I explore the infrared properties of massless SU(3) gauge-fermion systems with Nf=0, 8, and 12 Dirac fermions in the fundamental representation of SU(3) using non-perturbative Wilsonian renormalization group (RG) techniques. From an infinite volume massless RG scheme based upon the gradient flow transformation, I calculate the non-perturbative RG β-function for all three systems. I verify my determination of the RG β-function by calculating the Λ-parameter of the Nf=0 system and the leading irrelevant critical exponent at the infrared fixed point of the Nf=12 system; both are in reasonable agreement with the literature. The Nf=8 β-function exhibits tantalizing signs of upward curvature, which could indicate that the Nf=8 system is either infrared conformal or slowly walking. Additionally, I develop a finite size scaling method based on radial basis function neural networks. This method is tested on the finite-temperature phase transition of various two-dimensional classical spin systems. It is then applied to a potential quantum (zero-temperature) phase transition that the Nf=8 appears to undergo in transiting from a weakly-coupled conformal phase to a strongly-coupled symmetric mass generation phase.
- 일반주제명
- Particle physics
- 일반주제명
- Statistics
- 일반주제명
- Nuclear physics
- 일반주제명
- Computational physics
- 키워드
- Renormalization
- 키워드
- Neural networks
- 키워드
- Topology
- 기타저자
- University of Colorado at Boulder Physics
- 기본자료저록
- Dissertations Abstracts International. 86-03B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520250211152127
■006m o d
■007cr#unu||||||||
■020 ▼a9798384052623
■035 ▼a(MiAaPQ)AAI31482831
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a593.7
■1001 ▼aPeterson, Curtis Taylor.▼0(orcid)0000-0002-3650-9971
■24510▼aApplication of Contemporary Renormalization Group Techniques to Strongly-Coupled Field Theories
■260 ▼a[Sl]▼bUniversity of Colorado at Boulder▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a291 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-03, Section: B.
■500 ▼aAdvisor: Hasenfratz, Anna.
■5021 ▼aThesis (Ph.D.)--University of Colorado at Boulder, 2024.
■520 ▼aI explore the infrared properties of massless SU(3) gauge-fermion systems with Nf=0, 8, and 12 Dirac fermions in the fundamental representation of SU(3) using non-perturbative Wilsonian renormalization group (RG) techniques. From an infinite volume massless RG scheme based upon the gradient flow transformation, I calculate the non-perturbative RG β-function for all three systems. I verify my determination of the RG β-function by calculating the Λ-parameter of the Nf=0 system and the leading irrelevant critical exponent at the infrared fixed point of the Nf=12 system; both are in reasonable agreement with the literature. The Nf=8 β-function exhibits tantalizing signs of upward curvature, which could indicate that the Nf=8 system is either infrared conformal or slowly walking. Additionally, I develop a finite size scaling method based on radial basis function neural networks. This method is tested on the finite-temperature phase transition of various two-dimensional classical spin systems. It is then applied to a potential quantum (zero-temperature) phase transition that the Nf=8 appears to undergo in transiting from a weakly-coupled conformal phase to a strongly-coupled symmetric mass generation phase.
■590 ▼aSchool code: 0051.
■650 4▼aParticle physics
■650 4▼aStatistics
■650 4▼aNuclear physics
■650 4▼aComputational physics
■653 ▼aRenormalization
■653 ▼aNeural networks
■653 ▼aStandard Model physics
■653 ▼aSymmetric mass generation
■653 ▼aTopology
■690 ▼a0798
■690 ▼a0756
■690 ▼a0216
■690 ▼a0463
■71020▼aUniversity of Colorado at Boulder▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g86-03B.
■790 ▼a0051
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17163038▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
