Mapping topology to nuclear dilaton-HLS effective field theory for dense baryonic matter

Abstract

We describe the on-going effort to formulate the baryon-quark continuity in terms of a topology change in the equation of state (EoS) of dense baryonic matter in analogy to -and inspired bythe mapping of the characteristics of Chern-Simon topological field theory to Kohn-Sham density functional theory in the fractional quantized Hall effect (FQHE). This is done by translating the density-dependent characteristics of the skyrmion-half-skyrmion transition formulated in the presence of hidden local symmetry and (hidden) scale symmetry to the density-dependent parameters of a renormalization-group approach to Fermi-liquid fixed point theory. Predictions made in finite nuclei and infinite compact-star matter are presented.

The sound speed and core of massive compact stars: A manifestation of hadron-quark duality

“…The RHIC data, if correct, do however indicate that there can be anomaly contribution [30]. A more precise data would be extremely interesting for both the emergence of scale invariance (11) in nuclear correlations and its possible violation by anomaly which will zero-in on β in nuclear matter [30].…”

“…Our strategy is to use the characteristics of topology of dense matter consisting of multi-baryons and exploit the topology change in ascending in density to model the baryon-quark continuity believed to be intrinsic in QCD. This strategy of exploiting topology to arrive at highly correlated nuclear interactions [11] has an analog in fractional quantum Hall effects where the topology encoded in Chern-Simons field theory -which is macroscopicis mapped to highly correlated electronic interactions in Kohn-Sham density functional theory -which is microscopic [12].…”