TITLE:
The Chiral Dirac-Hartree-Fock Approximation in QHD with Scalar Vertex Corrections
AUTHORS:
Hiroshi Uechi
KEYWORDS:
Thermodynamic Consistency, Density Functional Theory, Feynman Diagram Approach, Lorentz-Scalar Vertex Corrections, Hedin-Dirac-Hartree-Fock Approximation
JOURNAL NAME:
Open Access Library Journal,
Vol.5 No.7,
July
24,
2018
ABSTRACT: A self-consistent chiral Dirac-Hartree-Fock (CDHF) approximation generated by an effective model of the (σ, ω, π) quantum hadrodynamics (QHD) is extended to include Lorentz-scalar self-consistent vertex corrections. The scalar vertex corrections are constructed with self-consistency of QHD and Bethe-Salpeter equation, and the resulting vertex corrections are diagrammatically equivalent to self-consistent Hedin approximation, which is termed Hedin-Dirac-Hartree-Fock (HDHF) approximation. The effective model of the (σ, ω, π) quantum hadrodynamics maintains the requirement of thermodynamic consistency and density-functional theory (DFT) to a good approximation. The HDFT approximation is applied to properties of nuclear matter and neutron stars.