From 3d dualities to hadron physics

Abstract

When one of the space-time dimension is compactified on S 1 , the QCD exhibits the chiral phase transition at some critical radius. When we further turn on a background θ term which depends on the S 1 compactified coordinate, a topological ordered phase appears at low energy via the winding of θ. We discuss what kind of theories can describe the physics near the critical point by requiring the matching of topological field theories in the infrared. As one of the possibilities, we propose a scenario where the ρ and ω mesons form a U (N f ) gauge theory near the critical point. In the phase where the chiral symmetry is restored, they become the dual gauge boson of the gluon related by the level-rank duality between the three dimensional gauge theories, SU (N ) N f and U (N f ) −N .

Manifestation of Hidden Symmetries in Baryonic Matter: From Finite Nuclei to Neutron Stars

“…The prediction for the Pb nucleus δg p L = 0.22τ 3 is in good agreement with the presently available experiment (δg p l ) exp = 0.23 ± 0.03 [25]. 14 We take this as an indication of the reliability of (25). Now what does g L A ≈ 1 mean?…”

“…One of the most startling novel arguments raised in the current development of hidden symmetries in strong interactions is that the hidden symmetries of the sort treated in this review, local gauge and perhaps also scale, are "indispensable" for accessing phase transitions, be they chiral or Higgs-topology or deconfinement [13,14,52].…”

“…This would mean that HLS is actually encoded -but hidden -in QCD proper and emerges un-hidden at high density (or temperature). How this feature manifests in experiments is quite subtle and not obvious because of the topological structure that involves an η singularity at high density, possibly associated with quantum Hall droplet baryons [11][12][13][14][15].…”

“…The mechanism in action is the emergence of conformal (or scale) symmetry, coming not necessarily from QCD proper, but from strongly-correlated dynamical nuclear interactions, which could permeate, either hidden or exposed, in baryonic matter from low density to high density. In this scheme, true deconfinement is to set in as mentioned above at much higher densities, say, ∼ > 25n 0 , than rel-evant to compact stars when the VM fixed point and/or DLFP are reached, possibly with the phase transition from a Higgs mode to a topological mode [14].…”

Topology change, emergent symmetries and compact star matter

“…Moreover, it was argued that the HLS fields could be (Seiberg-)dual to the gluons [62][63][64]-the intrinsic quantity in QCD. At this moment, we do not know how could this happen.…”