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Bootstrapping Large N QCD
Bootstrapping Large N QCD
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211151515
- ISBN
- 9798342728492
- DDC
- 530
- 서명/저자
- Bootstrapping Large N QCD
- 발행사항
- [Sl] : State University of New York at Stony Brook, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 233 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-05, Section: B.
- 주기사항
- Advisor: Rastelli, Leonardo;Komargodski, Zohar;Shao, Shu-Heng.
- 학위논문주기
- Thesis (Ph.D.)--State University of New York at Stony Brook, 2024.
- 초록/해제
- 요약We revisit from a modern bootstrap perspective the longstanding problem of solving Quantum Chromodynamics (QCD) in the large N limit. In particular, we set up a program to carve out the space of large N confining gauge theories using S-matrix bootstrap techniques, with the ultimate goal of cornering large N QCD.We begin by restricting to pion scattering. By simply imposing the full set of positivity constraints that follow from 2 → 2 pion scattering, we already derive universal bounds on the effective field theory (EFT) governing their low-energy interactions. We critically examine our exclusion plots, which exhibit some intriguing connections with hadronic phenomenology, developing in the process an analytic understanding of the geometry of the bounds.Next, we graduate to the case of pions coupled to background electromagnetic fields. We derive the full set of positivity constraints encoded in the system of 2 → 2 scattering amplitudes of pions and photons, and we explore the corresponding bounds. Apart from probing a larger set of intermediate meson states, this system has access to the coefficient of the chiral anomaly. By matching this coefficient with the microscopic theory, we derive bounds that contain an explicit N dependence.Finally, we return to pion scattering, and we make the natural spectral assumption that the 2 → 2 pion amplitude must contain a spin-one rho meson exchange and a massive resonance of spin two. By maximizing the coupling of the latter, we find a very interesting extremal solution of the dual bootstrap problem, which appears to contain at least a full Regge trajectory. Its low-lying states are in uncanny quantitative agreement with the meson masses in the real world.
- 일반주제명
- Physics
- 일반주제명
- Theoretical physics
- 일반주제명
- Electromagnetics
- 일반주제명
- Applied physics
- 일반주제명
- Nuclear physics
- 키워드
- Bootstrap
- 키워드
- Large N
- 키워드
- S-matrix
- 기타저자
- State University of New York at Stony Brook Physics
- 기본자료저록
- Dissertations Abstracts International. 86-05B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520250211151515
■006m o d
■007cr#unu||||||||
■020 ▼a9798342728492
■035 ▼a(MiAaPQ)AAI31300695
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aAlbert Iglesias, Jan.
■24510▼aBootstrapping Large N QCD
■260 ▼a[Sl]▼bState University of New York at Stony Brook▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a233 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-05, Section: B.
■500 ▼aAdvisor: Rastelli, Leonardo;Komargodski, Zohar;Shao, Shu-Heng.
■5021 ▼aThesis (Ph.D.)--State University of New York at Stony Brook, 2024.
■520 ▼aWe revisit from a modern bootstrap perspective the longstanding problem of solving Quantum Chromodynamics (QCD) in the large N limit. In particular, we set up a program to carve out the space of large N confining gauge theories using S-matrix bootstrap techniques, with the ultimate goal of cornering large N QCD.We begin by restricting to pion scattering. By simply imposing the full set of positivity constraints that follow from 2 → 2 pion scattering, we already derive universal bounds on the effective field theory (EFT) governing their low-energy interactions. We critically examine our exclusion plots, which exhibit some intriguing connections with hadronic phenomenology, developing in the process an analytic understanding of the geometry of the bounds.Next, we graduate to the case of pions coupled to background electromagnetic fields. We derive the full set of positivity constraints encoded in the system of 2 → 2 scattering amplitudes of pions and photons, and we explore the corresponding bounds. Apart from probing a larger set of intermediate meson states, this system has access to the coefficient of the chiral anomaly. By matching this coefficient with the microscopic theory, we derive bounds that contain an explicit N dependence.Finally, we return to pion scattering, and we make the natural spectral assumption that the 2 → 2 pion amplitude must contain a spin-one rho meson exchange and a massive resonance of spin two. By maximizing the coupling of the latter, we find a very interesting extremal solution of the dual bootstrap problem, which appears to contain at least a full Regge trajectory. Its low-lying states are in uncanny quantitative agreement with the meson masses in the real world.
■590 ▼aSchool code: 0771.
■650 4▼aPhysics
■650 4▼aTheoretical physics
■650 4▼aElectromagnetics
■650 4▼aApplied physics
■650 4▼aNuclear physics
■653 ▼aBootstrap
■653 ▼aLarge N
■653 ▼aQuantum Chromodynamics
■653 ▼aS-matrix
■653 ▼aEffective field theory
■690 ▼a0605
■690 ▼a0753
■690 ▼a0756
■690 ▼a0215
■690 ▼a0607
■71020▼aState University of New York at Stony Brook▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g86-05B.
■790 ▼a0771
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17162031▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
