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Path integral formalism of Bose Einstein condensation and superconductivity

  • Author(s): Kim, Tom
  • Advisor(s): Chien, Chih-Chun
  • et al.
Abstract

I set up the path integral formalism to study interacting bosonic gases, binary boson-fermion mixtures, and fermionic superconductors. The large-N theory is applied to bosonic interactions. The corresponding auxiliary field theory is applied to fermionic interactions. Using the thermodynamic quantities obtained by evaluating the path integral, I map out the phase boundaries. For fermionic superconductors, the path integral method reproduces well-known methods that were developed previously.

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