The Chiral Dirac-Hartree-Fock Approximation in QHD with Scalar Vertex Corrections - Open Access Library Journal

OALibJ > Vol.5 No.7, July 2018

Open Access Library Journal

Volume 5, Issue 7 (July 2018)

ISSN Print: 2333-9705 ISSN Online: 2333-9721

Google-based Impact Factor: 0.73 Citations

The Chiral Dirac-Hartree-Fock Approximation in QHD with Scalar Vertex Corrections ()

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DOI: 10.4236/oalib.1104739 411 Downloads 1,097 Views Citations

Author(s)

Hiroshi Uechi

Affiliation(s)

Osaka Gakuin University, Suita, Japan.

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.

KEYWORDS

Thermodynamic Consistency, Density Functional Theory, Feynman Diagram Approach, Lorentz-Scalar Vertex Corrections, Hedin-Dirac-Hartree-Fock Approximation

Share and Cite:

Uechi, H. (2018) The Chiral Dirac-Hartree-Fock Approximation in QHD with Scalar Vertex Corrections. Open Access Library Journal, 5, 1-17. doi: 10.4236/oalib.1104739.

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