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Hydrodynamic Effective Field Theories in Many-Body Systems
Hydrodynamic Effective Field Theories in Many-Body Systems
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202104707
- ISBN
- 9798291574140
- DDC
- 530
- 저자명
- Huang, Xiaoyang.
- 서명/저자
- Hydrodynamic Effective Field Theories in Many-Body Systems
- 발행사항
- [Sl] : University of Colorado at Boulder, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 353 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-02, Section: B.
- 주기사항
- Advisor: Lucas, Andrew.
- 학위논문주기
- Thesis (Ph.D.)--University of Colorado at Boulder, 2025.
- 초록/해제
- 요약Since Emmy Noether's seminal work in 1918 revealed the profound connection between continuous symmetries and conservation laws, symmetry has played a foundational role in modern many-body physics. Based on symmetry, effective field theory (EFT) provides a powerful framework for understanding macroscopic behaviors in many-body systems by coarse-graining microscopic details and focusing on the relevant degrees of freedom. These degrees of freedom, organized into symmetry representations, form the basis for a local effective action within a path integral formulation. In this thesis, we employ EFT techniques to explore both quantum and classical many-body systems across diverse regimes. Focusing on out-of-equilibrium dynamics, we construct EFTs that describe the late-time dynamics of many-body systems with exotic global symmetries. Due to dissipation, these dynamics extend beyond Noether's theorem and are naturally captured by the Schwinger-Keldysh formalism. In the classical limit-our primary focus-the theory reduces to a generalized hydrodynamic description. We demonstrate that, with kinetic constraints, the nonlinear hydrodynamic equations exhibit instabilities even in high dimensions, leading to a flow toward a new dissipative universality class. Furthermore, we establish that the gapless hydrodynamic modes, characteristic of a ``dynamical gapless phase of matter'', arise from spontaneous continuous symmetry breaking. Additionally, we apply our EFT framework to investigate zero-temperature ground state physics of the Ersatz Fermi liquid.
- 일반주제명
- Physics
- 일반주제명
- Applied mathematics
- 일반주제명
- Energy
- 일반주제명
- Fluid mechanics
- 키워드
- Hydrodynamics
- 키워드
- Fluid symmetries
- 기타저자
- University of Colorado at Boulder Physics
- 기본자료저록
- Dissertations Abstracts International. 87-02B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520260202104707
■006m o d
■007cr#unu||||||||
■020 ▼a9798291574140
■035 ▼a(MiAaPQ)AAI32117404
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aHuang, Xiaoyang.
■24510▼aHydrodynamic Effective Field Theories in Many-Body Systems
■260 ▼a[Sl]▼bUniversity of Colorado at Boulder▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a353 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-02, Section: B.
■500 ▼aAdvisor: Lucas, Andrew.
■5021 ▼aThesis (Ph.D.)--University of Colorado at Boulder, 2025.
■520 ▼aSince Emmy Noether's seminal work in 1918 revealed the profound connection between continuous symmetries and conservation laws, symmetry has played a foundational role in modern many-body physics. Based on symmetry, effective field theory (EFT) provides a powerful framework for understanding macroscopic behaviors in many-body systems by coarse-graining microscopic details and focusing on the relevant degrees of freedom. These degrees of freedom, organized into symmetry representations, form the basis for a local effective action within a path integral formulation. In this thesis, we employ EFT techniques to explore both quantum and classical many-body systems across diverse regimes. Focusing on out-of-equilibrium dynamics, we construct EFTs that describe the late-time dynamics of many-body systems with exotic global symmetries. Due to dissipation, these dynamics extend beyond Noether's theorem and are naturally captured by the Schwinger-Keldysh formalism. In the classical limit-our primary focus-the theory reduces to a generalized hydrodynamic description. We demonstrate that, with kinetic constraints, the nonlinear hydrodynamic equations exhibit instabilities even in high dimensions, leading to a flow toward a new dissipative universality class. Furthermore, we establish that the gapless hydrodynamic modes, characteristic of a ``dynamical gapless phase of matter'', arise from spontaneous continuous symmetry breaking. Additionally, we apply our EFT framework to investigate zero-temperature ground state physics of the Ersatz Fermi liquid.
■590 ▼aSchool code: 0051.
■650 4▼aPhysics
■650 4▼aApplied mathematics
■650 4▼aEnergy
■650 4▼aFluid mechanics
■653 ▼aHydrodynamics
■653 ▼aEffective field theory
■653 ▼aMany-body systems
■653 ▼aDiscrete rotational symmetry
■653 ▼aFluid symmetries
■690 ▼a0605
■690 ▼a0204
■690 ▼a0364
■690 ▼a0791
■71020▼aUniversity of Colorado at Boulder▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g87-02B.
■790 ▼a0051
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17358472▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
