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Dirac Fermions in a Chiral Environment under Rigid Rotation

Abeⅾⅼou Ahaⅾi, Ⅿohaⅿⅿaⅾ | 2024

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 57981 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Sadooghi, Neda
  7. Abstract:
  8. In this study, the effect of rigid rotation on the dynamical and thermodynamic properties of Dirac fermions in a chiral environment is investigated. Using the framework of quantum field theory, the Dirac equation is solved in the presence of rigid rotation, and the corresponding propagator is derived using the Fock-Schwinger method. The results demonstrate that the angular velocity Ω acts as an effective chemical potential and plays a significant role in the dynamical behavior of fermions. Using the fermion propagator arising in the first part of this work, the chiral current phenomena, including the Chiral Vortical and the Chiral Vortical Separation Effect is also examined in the presence of rigid rotation. Furthermore, the moment of inertia of a chiral fermionic gas in a rotating environment is calculated. The results reveal that rigid rotation leads to significant changes in the system’s pressure, free energy, and moment of inertia. It is shown that in a free fermion gas under rigid rotation, the moment of inertia associated with the orbital angular mometum is zero and that the total moment of iertia arises silely from the spin part of the total angular momentum. The resulting expression depends on the angular velocity, system temperature, chemical potential, and axial chemical potential.
  9. Keywords:
  10. Inertial Moment ; Chiral Vortical Separation Effect ; Chiral Vortical Effect ; Rigid Rotation ; Chiral Environment

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