1. Proving Rho Meson Is a Dynamical Gauge Boson of Hidden Local Symmetry.
- Author
-
Yamawaki, Koichi
- Subjects
- *
MESONS , *VECTOR mesons , *GAUGE bosons , *SYMMETRY , *SKYRMIONS , *QUANTUM chromodynamics - Abstract
The rho meson has long been successfully identified with a dynamical gauge boson of Hidden Local Symmetry (HLS) H local in the non-linear sigma model G / H gauge equivalent to the model having the symmetry G global × H local , with G = [ S U (2) L × S U (2) R ] ≃ O (4) , H = S U (2) V ≃ O (3) . However, under a hitherto unproven assumption that its kinetic term is dynamically generated, together with an ad hoc choice of the auxiliary field parameter " a = 2 ", we prove this assumption, thereby solving the long-standing mystery. The rho meson kinetic term is generated simply by the large N limit of the Grassmannian model G / H = O (N) / [ O (N − 3) × O (3) ] gauge equivalent to O (N) global × [ O (N − 3) × O (3) ] local , extrapolated to N = 4 , O (4) global × O (3) local , with all the phenomenologically successful " a = 2 results", i.e., ρ -universality, KSRF relation, and the Vector Meson Dominance, realized independently of the parameter "a". This in turn establishes validity of the large N dynamics at the quantitative level directly by the experiments. The relevant cutoff reads Λ ≃ 4 π F π for N = 4 , which is regarded as a matching scale of the HLS as a "magnetic dual" to QCD. Skyrmion is stabilized by such a dynamically generated rho meson without recourse to the underlying QCD, a further signal of the duality. The unbroken phase with a massless rho meson may be realized as a novel chiral-restored hadronic phase in the hot/dense QCD. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF