The Role of Vector Mesons for Emergent Scale-Chiral Symmetry in Nuclear Interactions

الأصل · EN

When a light scalar dilaton σ and the light-quark vector mesons V=(ρ,ω) are incorporated into an effective scale-invariant hidden local symmetric (sHLS) Lagrangian, scale symmetry for σ and local gauge symmetry for V, both invisible in QCD in the vacuum, arise as emergent symmetries at a density above n₁/₂ 2n₀, a phenomenon highly relevant for massive compact stars, hitherto unobserved in standard chiral pertubative approaches. What takes place involves a topology change at n₁/₂, and as the density increases beyond, (1) exposes a parity doubling in the nucleon structure, (2) triggers drastic change in the nuclear tensor force and (3) stiffens the nuclear symmetry energy as density exceeds n₁/₂. It results from an intricate interplay between the two hidden symmetries that the ρ meson moves toward the vector manifestation (VM) fixed point where mρ→ 0 and the velocity of sound vₛ in the dense matter approaches the conformal symmetry value vₛ/c=√1/3, indicating a presence of an infrared fixed point at which the dilaton mass vanishes.