SELF-CONSISTENT SOLUTION TO A FERMION DETERMINANT WITH SPACE-DEPENDENT FIELDS

A numerical routine is provided which allows to compute and minimize an energy functional involving a fermion determinant. Such determinants appear whenever fermion degrees of freedom which couple to space-dependent boson fields are treated by functional integral techniques. The energy functional is evaluated by summing over the eigenvalues of a one-particle Dirac Hamiltonian. In order to minimize the energy functional the corresponding eigenfunctions are used to construct the equation of motion for the boson fields. Iteration of this equation yields the self-consistent field configuration.