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      Numerical Methods for Finite Temperature Effects in Quantum Field Theory

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      LI-THESIS-2021.pdf (3.429Mb)
      Date
      2021-12-23
      Author
      Li, Siyuan
      Type
      Thesis
      Degree Level
      Masters
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      Abstract
      The basic structure of quantum field theory that is used to describe the Standard Model of fundamental interactions of nature is usually formulated for zero temperature. However, the effects of temperature are extremely important for understanding a number of physical processes such as the electroweak phase transition and quark-gluon plasma. The extension of quantum field theory to non-zero temperature is achieved by modifying the propagators in loop integrations represented by Feynman diagrams. The Python-language-based package pySecDec is designed for numerical calculation of dimensionally regulated loop integrals. The research goal for my thesis is to develop a methodology to numerically calculate loop integrations for finite temperature effects in quantum field theory by adapting pySecDec functions and implementing them for such purpose. In this thesis, the methodology is used on one-loop self-energy to achieve numerical calculation results. The pySecDec methodology is validated in comparison to existing analytic results for this topology.
      Degree
      Master of Science (M.Sc.)
      Department
      Physics and Engineering Physics
      Program
      Physics
      Supervisor
      Steele, Tom; Harnett, Derek
      Committee
      Tanaka, Kaori; Degenstein, Doug; Soteros, Chris; McWilliams, Kathryn
      Copyright Date
      December 2021
      URI
      https://hdl.handle.net/10388/13750
      Subject
      quantum field theory
      thermal field theory
      finite temperature
      numerical calculation
      Feynman integral
      Matsubara formalism
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