Functional integral formulation of Brueckner-Hartree-Fock theory

T. Troudet, S. E. Koonin

Research output: Contribution to journalArticlepeer-review


A functional integral formalism is developed for the quantum many-fermion problem with a strong, short-range repulsive two-body potential. It is applied to nuclear transition amplitudes, for which the stationary phase approximation leads to a new time-dependent mean-field theory. The general equations of motion are non-local in time due to the dependence of the mean-field upon the initial and final states. For special choices of boundary conditions, these equations simplify to the well-known Brueckner-Hartree-Fock approximation or to its time-dependent generalization. A non-perturbative expression for the quantal corrections to the static Brueckner-Hartree-Fock mean-field is proposed using the example of the ground state energy.

Original languageEnglish (US)
Pages (from-to)421-439
Number of pages19
JournalAnnals of Physics
Issue number2
StatePublished - May 1984

ASJC Scopus subject areas

  • General Physics and Astronomy


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