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One loop corrections to quantum hadrodynamics with vector mesons

Gary Prézeau
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Abstract

The renormalized elastic $ππ$ scattering amplitude to one loop is calculated in the chiral limit in the $σ$ model and in a Quantum Hadrodynamic model (QHD-III) with vector mesons. It is argued that QHD-III reduces to the linear $σ$ model in the limit that the vector meson masses become large. The pion decay constant is also calculated to 1-loop in the $σ$ model, and at tree level in QHD-III; it is shown that the coefficient of the tree level term in the scattering amplitude equals $F_π^{-2}$. The 1-loop correction of $F_π$ in QHD-III violates strong isospin current conservation. Thus,it is concluded that QHD-III can, at best, only describe the strongly interacting nuclear sector.

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Gary Prézeau. 1998-10-29. One loop corrections to quantum hadrodynamics with vector mesons. https://doi.org/10.1103/physrevc.58.1853%2010.1103%2Fphysrevc.61.039901

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