# Self-consistent solution to a complex fermion determinant with space dependent fields

## Description

Abstract A numerical routine is provided which allows to compute and minimize a mesonic energy functional involving a complex fermion determinant. The energy functional is evaluated by summing over the real and imaginary parts of the eigenvalues of a non-Hermitian one-particle Dirac Hamiltonian. In order to minimize the energy functional the corresponding eigenfunctions are used to set up the equations of motion for the meson fields. Iteration of these equations yields the self-consistent configuratio... Title of program: vecscal Catalogue Id: ACVB_v1_0 Nature of problem Quark fields are integrated out from a generalized Nambu-Jona-Lasinio model yielding a complex functional determinant which involves composite meson fields. This determinant is evaluated for static but space- dependent meson field configurations. The configuration which minimizes the corresponding energy functional is constructed. Versions of this program held in the CPC repository in Mendeley Data ACVB_v1_0; vecscal; 10.1016/0010-4655(94)90130-9 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)