“…In this approach, there are neither explicit quark degrees of freedom nor strangeness flavor as in the standard approaches such as e.g., in [57,58] and in other variations with bag models [36]. Nonetheless, up to today, the approach works with no serious tension with empirical data.…”
Section: Discussionmentioning
confidence: 99%
“…They typically involve phase transitions. Let us cite just a couple of the most recent of them here [36] where other relevant references can be found.…”
Section: Hadron-quark Duality As a Cheshire Cat Phenomenonmentioning
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.
“…In this approach, there are neither explicit quark degrees of freedom nor strangeness flavor as in the standard approaches such as e.g., in [57,58] and in other variations with bag models [36]. Nonetheless, up to today, the approach works with no serious tension with empirical data.…”
Section: Discussionmentioning
confidence: 99%
“…They typically involve phase transitions. Let us cite just a couple of the most recent of them here [36] where other relevant references can be found.…”
Section: Hadron-quark Duality As a Cheshire Cat Phenomenonmentioning
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.
“…In this approach, there are neither explicit quark degrees of freedom nor strangeness flavor as in the standard approaches [69,70] and in other variations with bag mod-els [53]. It is possible of course that there be corrections to the approximations made -given the admittedly drastic oversimplification -that could, quantitatively though not qualitatively, modify the results.…”
Section: A Indispensable Role Of Vector Mesonsmentioning
confidence: 96%
“…They typically involve phase transitions. We cite just a couple of the most recent of them [53] where other relevant references can be found.…”
Section: Hadron-quark Duality and Cheshire Cat Phenomenonmentioning
There are a large number of excellent reviews in the literature, much too numerous, however, to make an adequate referencing. We apologize for not listing them here.
We describe the mapping at high density of topological structure of baryonic matter to a nuclear effective field theory that implements hidden symmetries emergent from strong nuclear correlations. The theory constructed is found to be consistent with no conflicts with the presently available observations in both normal nuclear matter and compact-star matter. The hidden symmetries involved are “local flavor symmetry” of the vector mesons identified to be (Seiberg-)dual to the gluons of QCD and hidden “quantum scale symmetry” with an IR fixed point with a “genuine dilaton (GD)” characterized by non-vanishing pion and dilaton decay constants. Both the skyrmion topology for Nf≥2 baryons and the fractional quantum Hall (FQH) droplet topology for Nf=1 baryons are unified in the “homogeneous/hidden” Wess–Zumino term in the hidden local symmetry (HLS) Lagrangian. The possible indispensable role of the FQH droplets in going beyond the density regime of compact stars approaching scale-chiral restoration is explored by moving toward the limit where both the dilaton and the pion go massless.
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