Scale-chiral symmetry, ω meson and dense baryonic matter

Yong-Liang Ma (1) , Mannque Rho (2)

1 Center for Theoretical Physics and College of Physics, Jilin University
2 IPHT - Institut de Physique Théorique - UMR CNRS 3681

It is shown that explicitly broken scale symmetry is essential for dense skyrmion matter in hidden local symmetry theory. Consistency with the vector manifestation fixed point for the hidden local symmetry of the lowest-lying vector mesons and the dilaton limit fixed point for scale symmetry in dense matter is found to require that the anomalous dimension ($\gamma _{G^2}$) of the gluon field strength tensor squared ($G^2$) that represents the quantum trace anomaly should be $\textbf 0<\gamma _{G^{2}}<3$.

Domains: Nuclear Theory [nucl-th]

Yong-Liang Ma, Mannque Rho. Scale-chiral symmetry, ω meson and dense baryonic matter. 2017. ⟨cea-01491887⟩