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Hadrons and Nuclei
Eur. Phys. J. A 3, 49-63

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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