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On the Thermodynamics and Transport of Large N Quantum Field Theories
On the Thermodynamics and Transport of Large N Quantum Field Theories
On the Thermodynamics and Transport of Large N Quantum Field Theories

Detailed Information

자료유형  
 학위논문 서양
최종처리일시  
20250211151143
ISBN  
9798382720104
DDC  
530.1
저자명  
Weiner, Max.
서명/저자  
On the Thermodynamics and Transport of Large N Quantum Field Theories
발행사항  
[Sl] : University of Colorado at Boulder, 2024
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2024
형태사항  
106 p
주기사항  
Source: Dissertations Abstracts International, Volume: 85-11, Section: B.
주기사항  
Advisor: Romatschke, Paul.
학위논문주기  
Thesis (Ph.D.)--University of Colorado at Boulder, 2024.
초록/해제  
요약The phase diagram of Quantum Chromodynamics (QCD) outlines the various states in which strongly interacting matter can be assumed across varying temperatures and baryon number densities. However, extracting theoretical predictions from QCD is remarkably difficult due to the non-perturbative nature of the strong interaction and numerical methods cannot be applied to high densities due to the fermion sign problem. This work explores non-perturbative methods, such as the large N expansion and novel resummation techniques, to calculate thermodynamic and transport properties valid at all temperatures, densities, and coupling strengths. In particular, we apply our analysis to an O(N) scalar field theory and a unitary Fermi gas, hoping to shed light on the behavior of strongly interacting matter under extreme conditions akin to those found inside neutron stars. We extend our analysis to include PT-symmetric fermions in 3+1 dimensions, offering novel insights into non-Hermitian yet physically relevant systems. Our findings suggest physical observables remain well-defined at momentum scales near and beyond the Landau pole, challenging long-held beliefs that the presence of a Landau pole indicates an incomplete theory.
일반주제명  
Theoretical physics
일반주제명  
Quantum physics
일반주제명  
Nuclear physics
일반주제명  
Thermodynamics
키워드  
Hydrodynamics
키워드  
Nuclear matter
키워드  
Quantum Chromodynamics
키워드  
Fermion sign problem
기타저자  
University of Colorado at Boulder Physics
기본자료저록  
Dissertations Abstracts International. 85-11B.
전자적 위치 및 접속  
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MARC

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■035    ▼a(MiAaPQ)AAI31234727
■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a530.1
■1001  ▼aWeiner,  Max.
■24510▼aOn  the  Thermodynamics  and  Transport  of  Large  N  Quantum  Field  Theories
■260    ▼a[Sl]▼bUniversity  of  Colorado  at  Boulder▼c2024
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2024
■300    ▼a106  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  85-11,  Section:  B.
■500    ▼aAdvisor:  Romatschke,  Paul.
■5021  ▼aThesis  (Ph.D.)--University  of  Colorado  at  Boulder,  2024.
■520    ▼aThe  phase  diagram  of  Quantum  Chromodynamics  (QCD)  outlines  the  various  states  in  which  strongly  interacting  matter  can  be  assumed  across  varying  temperatures  and  baryon  number  densities.  However,  extracting  theoretical  predictions  from  QCD  is  remarkably  difficult  due  to  the  non-perturbative  nature  of  the  strong  interaction  and  numerical  methods  cannot  be  applied  to  high  densities  due  to  the  fermion  sign  problem.  This  work  explores  non-perturbative  methods,  such  as  the  large  N  expansion  and  novel  resummation  techniques,  to  calculate  thermodynamic  and  transport  properties  valid  at  all  temperatures,  densities,  and  coupling  strengths.  In  particular,  we  apply  our  analysis  to  an  O(N)  scalar  field  theory  and  a  unitary  Fermi  gas,  hoping  to  shed  light  on  the  behavior  of  strongly  interacting  matter  under  extreme  conditions  akin  to  those  found  inside  neutron  stars.  We  extend  our  analysis  to  include  PT-symmetric  fermions  in  3+1  dimensions,  offering  novel  insights  into  non-Hermitian  yet  physically  relevant  systems.  Our  findings  suggest  physical  observables  remain  well-defined  at  momentum  scales  near  and  beyond  the  Landau  pole,  challenging  long-held  beliefs  that  the  presence  of  a  Landau  pole  indicates  an  incomplete  theory.
■590    ▼aSchool  code:  0051.
■650  4▼aTheoretical  physics
■650  4▼aQuantum  physics
■650  4▼aNuclear  physics
■650  4▼aThermodynamics
■653    ▼aHydrodynamics
■653    ▼aNuclear  matter
■653    ▼aQuantum  Chromodynamics
■653    ▼aFermion  sign  problem
■690    ▼a0753
■690    ▼a0599
■690    ▼a0756
■690    ▼a0348
■71020▼aUniversity  of  Colorado  at  Boulder▼bPhysics.
■7730  ▼tDissertations  Abstracts  International▼g85-11B.
■790    ▼a0051
■791    ▼aPh.D.
■792    ▼a2024
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17160972▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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