3 Path integral bosonization of the pairing
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چکیده
As a first approach to a derivation of the IBM from a microscopic nuclear hamiltonian, we bosonize the pairing hamiltonian in the framework of the path integral formalism respecting both the particle number conservation and the Pauli principle. We construct the saddle point expansion which reproduces the sector of the spectrum associated to the addition or removal of nucleon pairs.
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We review various ways to express the partition function of the single-band Hubard model as a path integral. The emphasis is made on the derivation of the action in the integrand of the path integral and the results obtained from this approach are discussed only briefly. Since the single-band Hubbard model is a pure fermionic model on the lattice and its Hamiltonian is a polynomial in creat...
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