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Soft Theorems and Infrared Safety in Four Dimensions
Soft Theorems and Infrared Safety in Four Dimensions
Soft Theorems and Infrared Safety in Four Dimensions

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자료유형  
 학위논문 서양
최종처리일시  
20250211152726
ISBN  
9798384461234
DDC  
593.7
저자명  
Venkata, Aniruddha Tamma.
서명/저자  
Soft Theorems and Infrared Safety in Four Dimensions
발행사항  
[Sl] : State University of New York at Stony Brook, 2024
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2024
형태사항  
231 p
주기사항  
Source: Dissertations Abstracts International, Volume: 86-04, Section: B.
주기사항  
Advisor: Sterman, George F.
학위논문주기  
Thesis (Ph.D.)--State University of New York at Stony Brook, 2024.
초록/해제  
요약In this thesis we study two questions that are closely related to factorization in perturbative QCD. In the first part we discuss the celebrated Low's theorem, and we will relate the radiative amplitude for the production of a soft photon along with two hard particles, to the non-radiative amplitude for the production of two hard particles. We will extend the theorem to the region where the photon momentum is much larger than the fermion masses, in which the fermions can be treated as effectively massless. We will discuss the radiation from various components of the factorized amplitude and compare it to the naive expectation from Low's theorem. In the second half of this thesis, we will discuss infrared finiteness and Feynman integrals that are manifestly IR finite. While initial-state singularities can be dealt with using IR counterterms, final-state singularities cancel upon summing over cuts. This will be made manifest in time-ordered perturbation theory. We will show that in cancelling these final-state singularities, we are able to recast the amplitude in terms of physical cuts alone.
일반주제명  
Particle physics
일반주제명  
Applied mathematics
일반주제명  
Theoretical physics
일반주제명  
Computational physics
키워드  
Low's theorem
키워드  
Fermions
키워드  
Perturbative QCD
키워드  
Massless
키워드  
Final-state singularities
기타저자  
State University of New York at Stony Brook Physics
기본자료저록  
Dissertations Abstracts International. 86-04B.
전자적 위치 및 접속  
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MARC

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■1001  ▼aVenkata,  Aniruddha  Tamma.
■24510▼aSoft  Theorems  and  Infrared  Safety  in  Four  Dimensions
■260    ▼a[Sl]▼bState  University  of  New  York  at  Stony  Brook▼c2024
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2024
■300    ▼a231  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  86-04,  Section:  B.
■500    ▼aAdvisor:  Sterman,  George  F.
■5021  ▼aThesis  (Ph.D.)--State  University  of  New  York  at  Stony  Brook,  2024.
■520    ▼aIn  this  thesis  we  study  two  questions  that  are  closely  related  to  factorization  in  perturbative  QCD.  In  the  first  part  we  discuss  the  celebrated  Low's  theorem,  and  we  will  relate  the  radiative  amplitude  for  the  production  of  a  soft  photon  along  with  two  hard  particles,  to  the  non-radiative  amplitude  for  the  production  of  two  hard  particles.  We  will  extend  the  theorem  to  the  region  where  the  photon  momentum  is  much  larger  than  the  fermion  masses,  in  which  the  fermions  can  be  treated  as  effectively  massless.  We  will  discuss  the  radiation  from  various  components  of  the  factorized  amplitude  and  compare  it  to  the  naive  expectation  from  Low's  theorem.  In  the  second  half  of  this  thesis,  we  will  discuss  infrared  finiteness  and  Feynman  integrals  that  are  manifestly  IR  finite.  While  initial-state  singularities  can  be  dealt  with  using  IR  counterterms,  final-state  singularities  cancel  upon  summing  over  cuts.  This  will  be  made  manifest  in  time-ordered  perturbation  theory.  We  will  show  that  in  cancelling  these  final-state  singularities,  we  are  able  to  recast  the  amplitude  in  terms  of  physical  cuts  alone.
■590    ▼aSchool  code:  0771.
■650  4▼aParticle  physics
■650  4▼aApplied  mathematics
■650  4▼aTheoretical  physics
■650  4▼aComputational  physics
■653    ▼aLow's  theorem
■653    ▼aFermions  
■653    ▼aPerturbative  QCD
■653    ▼aMassless
■653    ▼aFinal-state  singularities
■690    ▼a0798
■690    ▼a0753
■690    ▼a0216
■690    ▼a0364
■71020▼aState  University  of  New  York  at  Stony  Brook▼bPhysics.
■7730  ▼tDissertations  Abstracts  International▼g86-04B.
■790    ▼a0771
■791    ▼aPh.D.
■792    ▼a2024
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17163578▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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