Renormalization of Hartree-Fock-Bogoliubov Equations

Hartree-Fock-Bogoliubov (HFB) equations are the most
sophisicated mean-field approach to decribe pairing
correlations in various systems, such as nuclei,
neutron stars and ultracold dilute Fermi atom gases.
It is natural to apply zero-range approximation to
the paring force in these systems. However, the
solutions to HFB equations diverge with zero-range
approximation. This book systemically present the
techique to cure the divergence. In this book, this
local pairing treatment is also applied to vortices
in neutron matter and in cold atom
gas with a large scattering length, where it is
shown that there is a matter depletion at the core
area of a vortex state, which can be interpreted as
a bosonic feature of such systems. This book is of
interest to graduate students in condensed
matter physics and nuclear physics.

Autorentext
Yongle Yu received his Ph.D. in 2003 from University of Washington. He is currently a Professor at Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences.

Klappentext
Hartree-Fock-Bogoliubov (HFB) equations are the most sophisicated mean-field approach to decribe pairing correlations in various systems, such as nuclei, neutron stars and ultracold dilute Fermi atom gases. It is natural to apply zero-range approximation to the paring force in these systems. However, the solutions to HFB equations diverge with zero-range approximation. This book systemically present the techique to cure the divergence. In this book, this local pairing treatment is also applied to vortices in neutron matter and in cold atom gas with a large scattering length, where it is shown that there is a matter depletion at the core area of a vortex state, which can be interpreted as a bosonic feature of such systems. This book is of interest to graduate students in condensed matter physics and nuclear physics.