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Computational Methods in Scattering Amplitudes and Numerical Relativity
Computational Methods in Scattering Amplitudes and Numerical Relativity
Computational Methods in Scattering Amplitudes and Numerical Relativity

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20260202105606
ISBN  
9798265426826
DDC  
500
저자명  
Xin, Shuo.
서명/저자  
Computational Methods in Scattering Amplitudes and Numerical Relativity
발행사항  
[Sl] : Stanford University, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
187 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-05, Section: B.
주기사항  
Advisor: Dixon, Lance.
학위논문주기  
Thesis (Ph.D.)--Stanford University, 2025.
초록/해제  
요약Computational methods provide critical tools for precision tests of fundamental physics in high energy theory and gravitational wave astronomy, enabling systematic calculations that bridge theory with experimental observations. Traditionally, quantum field theory calculations rely on Feynman diagrams while general relativity employs direct study of Einstein's equations, both facing computational barriers. New bootstrap methods now construct scattering amplitudes through mathematical structures and symmetries rather than diagram summation, while advances in numerical relativity enable stable simulation of black holes with matter. This thesis builds on bootstrap techniques for planar N = 4 super-Yang-Mills theory, uplifting two-loop four-point form factors to full functions and verifying antipodal self-duality at function level. The thesis also presents numerical relativity studies of dark matter environmental effects around black holes, including coupled Einstein-Proca-magnetohydrodynamics simulations that study accretion flow interacting with superradiant dark photon clouds and gravitational friction from scalar dark matter. These computational advances extend precision calculations in gauge theory and numerical studies predicting observable dark matter signatures.
일반주제명  
Kinematics
일반주제명  
Quarks
일반주제명  
Black holes
일반주제명  
Magnetic fields
일반주제명  
Spacetime
일반주제명  
Accretion disks
일반주제명  
Quantum field theory
일반주제명  
Energy
일반주제명  
Theory of relativity
일반주제명  
Boundary conditions
일반주제명  
Astronomy
일반주제명  
Astrophysics
일반주제명  
Atomic physics
일반주제명  
Mathematics
일반주제명  
Particle physics
일반주제명  
Theoretical physics
일반주제명  
Electromagnetics
기타저자  
Stanford University.
기본자료저록  
Dissertations Abstracts International. 87-05B.
전자적 위치 및 접속  
로그인 후 원문을 볼 수 있습니다.

MARC

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■1001  ▼aXin,  Shuo.
■24510▼aComputational  Methods  in  Scattering  Amplitudes  and  Numerical  Relativity
■260    ▼a[Sl]▼bStanford  University▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a187  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-05,  Section:  B.
■500    ▼aAdvisor:  Dixon,  Lance.
■5021  ▼aThesis  (Ph.D.)--Stanford  University,  2025.
■520    ▼aComputational  methods  provide  critical  tools  for  precision  tests  of  fundamental  physics  in  high  energy  theory  and  gravitational  wave  astronomy,  enabling  systematic  calculations  that  bridge  theory  with  experimental  observations.  Traditionally,  quantum  field  theory  calculations  rely  on  Feynman  diagrams  while  general  relativity  employs  direct  study  of  Einstein's  equations,  both  facing  computational  barriers.  New  bootstrap  methods  now  construct  scattering  amplitudes  through  mathematical  structures  and  symmetries  rather  than  diagram  summation,  while  advances  in  numerical  relativity  enable  stable  simulation  of  black  holes  with  matter.  This  thesis  builds  on  bootstrap  techniques  for  planar  N  =  4  super-Yang-Mills  theory,  uplifting  two-loop  four-point  form  factors  to  full  functions  and  verifying  antipodal  self-duality  at  function  level.  The  thesis  also  presents  numerical  relativity  studies  of  dark  matter  environmental  effects  around  black  holes,  including  coupled  Einstein-Proca-magnetohydrodynamics  simulations  that  study  accretion  flow  interacting  with  superradiant  dark  photon  clouds  and  gravitational  friction  from  scalar  dark  matter.  These  computational  advances  extend  precision  calculations  in  gauge  theory  and  numerical  studies  predicting  observable  dark  matter  signatures.
■590    ▼aSchool  code:  0212.
■650  4▼aKinematics
■650  4▼aQuarks
■650  4▼aBlack  holes
■650  4▼aMagnetic  fields
■650  4▼aSpacetime
■650  4▼aAccretion  disks
■650  4▼aQuantum  field  theory
■650  4▼aEnergy
■650  4▼aTheory  of  relativity
■650  4▼aBoundary  conditions
■650  4▼aAstronomy
■650  4▼aAstrophysics
■650  4▼aAtomic  physics
■650  4▼aMathematics
■650  4▼aParticle  physics
■650  4▼aTheoretical  physics
■650  4▼aElectromagnetics
■690    ▼a0791
■690    ▼a0606
■690    ▼a0596
■690    ▼a0748
■690    ▼a0405
■690    ▼a0798
■690    ▼a0753
■690    ▼a0607
■71020▼aStanford  University.
■7730  ▼tDissertations  Abstracts  International▼g87-05B.
■790    ▼a0212
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17360691▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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