Renormalization of relativistic self-consistent Hartree-Fock approximation
S.S. Wu - Y.J. Yao
Center for Theoretical Physics and Department of Physics, Jilin University, Changchun 130023, People's Republic of China
Received: 29 August 1997 / Revised version: 30 April 1998 Communicated by P. Schuck
Abstract
The renormalization of the relativistic self-consistent Hartree-Fock
approximation is restudied. It is shown that the renormalization procedure
suggested by Bielajew and Serot can be greatly simplified and the
renormalization achieved in a way no more complicated than that of the
relativistic self-consistent Fock approximation, if the parameters in the
counterterms are allowed to be density-dependent and the renormalization of
the tadpole self-energy is treated appropriately. A transformation relation
between the four- and three-dimensional representation of the baryon self-energy
is presented and a self-consistent Hartree-Fock scheme different from that considered
by Bielajew and Serot studied. The renormalized integral equations for the baryon self-energy
which includes effects from the Dirac sea are reformulated in a three-dimensional form.
Explicit expressions are derived.
PACS
21.65.+f Nuclear matter -
21.60.Jz Hartree-Fock and random-phase approximations -
11.10.Gh Renormalization
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