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Field Theory Aspects of Inflationary Cosmology
Field Theory Aspects of Inflationary Cosmology
Field Theory Aspects of Inflationary Cosmology

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20260202104838
ISBN  
9798293845248
DDC  
530
저자명  
Huang, Yiwen.
서명/저자  
Field Theory Aspects of Inflationary Cosmology
발행사항  
[Sl] : University of California, San Diego, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
207 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-03, Section: B.
주기사항  
Advisor: Green, Daniel.
학위논문주기  
Thesis (Ph.D.)--University of California, San Diego, 2025.
초록/해제  
요약The era of precision cosmology, with its increasingly powerful observational probes, demands a correspondingly systematic understanding of the full landscape of possible inflationary signatures. The goal of the thesis is to develop some technical tools that can be used to facilitate the study of the cosmological correlation function. In the first part of the paper, we discuss several technical results in the context of the effective field theory (EFT) of inflation. In Chapter 1, we derive a new soft theorem for scattering amplitudes by taking the sub-horizon limit of the EFT of inflation. We then discuss the application of this theorem to inflation. In Chapter 2, we show that in general single-field inflation, the statistics of scalar metric fluctuations are given by the statistics of the Goldstone boson decoupled from gravity up to corrections that are controlled as an expansion in slow-roll parameters.The second part of the thesis investigates the infrared behavior of heavy fields in de Sitter space. In Chapter 3, we demonstrate how coupling with additional heavy fields leads to an anomalous dimension for principal series fields in de Sitter space. We show how to evaluate these anomalous dimensions using Mellin space techniques and then explore the consequences for the Soft de Sitter Effective Theory (SdSET). Finally, in Chapter 4, we provide a proof of the positivity of such anomalous dimensions using the positivity of the Fisher information matrix.
일반주제명  
Physics
일반주제명  
Statistical physics
일반주제명  
Theoretical physics
일반주제명  
Particle physics
키워드  
Effective field theory
키워드  
Scalar metric fluctuations
키워드  
Fisher information matrix
키워드  
Cosmological correlation
기타저자  
University of California, San Diego Physics
기본자료저록  
Dissertations Abstracts International. 87-03B.
전자적 위치 및 접속  
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MARC

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■1001  ▼aHuang,  Yiwen.
■24510▼aField  Theory  Aspects  of  Inflationary  Cosmology
■260    ▼a[Sl]▼bUniversity  of  California,  San  Diego▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a207  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-03,  Section:  B.
■500    ▼aAdvisor:  Green,  Daniel.
■5021  ▼aThesis  (Ph.D.)--University  of  California,  San  Diego,  2025.
■520    ▼aThe  era  of  precision  cosmology,  with  its  increasingly  powerful  observational  probes,  demands  a  correspondingly  systematic  understanding  of  the  full  landscape  of  possible  inflationary  signatures.  The  goal  of  the  thesis  is  to  develop  some  technical  tools  that  can  be  used  to  facilitate  the  study  of  the  cosmological  correlation  function.  In  the  first  part  of  the  paper,  we  discuss  several  technical  results  in  the  context  of  the  effective  field  theory  (EFT)  of  inflation.  In  Chapter  1,  we  derive  a  new  soft  theorem  for  scattering  amplitudes  by  taking  the  sub-horizon  limit  of  the  EFT  of  inflation.  We  then  discuss  the  application  of  this  theorem  to  inflation.  In  Chapter  2,  we  show  that  in  general  single-field  inflation,  the  statistics  of  scalar  metric  fluctuations  are  given  by  the  statistics  of  the  Goldstone  boson  decoupled  from  gravity  up  to  corrections  that  are  controlled  as  an  expansion  in  slow-roll  parameters.The  second  part  of  the  thesis  investigates  the  infrared  behavior  of  heavy    fields  in  de  Sitter  space.  In  Chapter  3,  we  demonstrate  how  coupling  with  additional  heavy  fields  leads  to  an  anomalous  dimension  for  principal  series  fields  in  de  Sitter  space.  We  show  how  to  evaluate  these  anomalous  dimensions  using  Mellin  space  techniques  and  then  explore  the  consequences  for  the  Soft  de  Sitter  Effective  Theory  (SdSET).  Finally,  in  Chapter  4,  we  provide  a  proof  of  the  positivity  of  such  anomalous  dimensions  using  the  positivity  of  the  Fisher  information  matrix.
■590    ▼aSchool  code:  0033.
■650  4▼aPhysics
■650  4▼aStatistical  physics
■650  4▼aTheoretical  physics
■650  4▼aParticle  physics
■653    ▼aEffective  field  theory
■653    ▼aScalar  metric  fluctuations
■653    ▼aFisher  information  matrix
■653    ▼aCosmological  correlation
■690    ▼a0605
■690    ▼a0753
■690    ▼a0217
■690    ▼a0798
■71020▼aUniversity  of  California,  San  Diego▼bPhysics.
■7730  ▼tDissertations  Abstracts  International▼g87-03B.
■790    ▼a0033
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359121▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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