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 spacedependent boson fields are treated by functional integral techniques. The energy functional is
Self-consistent solution to a complex fermion determinant with space dependent fields
✍ Scribed by U. Zückert; R. Alkofer; H. Weigel
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 977 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0010-4655
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✦ Synopsis
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 configuration of the meson fields.
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