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Effects on the hadron propagators due to $k_μk_ν$ terms in the vector meson propagator

H. X. Zhang·S. S. Wu
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Abstract

In an approximation where the baryon current conservation is violated, the contribution of the $k_μk_ν$ terms in the vector meson propagator may not vanish. Their effects on the baryon and meson spectral functions and on the consequences of self-consistency are studied in the relativistic self-consistent Hartree-Fock approximation by means of the $σ-ω$ model. Two cases where the $k_μk_ν$ terms are and are not neglected are compared. It is found that there is a marked change in the baryon spectral function which becomes more peaked in the latter case. Such a change remains even by a proper readjustment of parameters. The effects of self-consistency in the $σ-ω$ model are qualitatively the same in both cases, though quantitatively there is some significant difference.

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H. X. Zhang, S. S. Wu. 2003-03-12. Effects on the hadron propagators due to $k_μk_ν$ terms in the vector meson propagator. https://arxiv.org/abs/nucl-th/0111069

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