Conformal Phase Transition and Fate of the Hidden Local Symmetry in Large N_f QCD

TL;DR

This paper explores the behavior of Hidden Local Symmetry in large N_f QCD, revealing its role in phase transitions and chiral restoration, with implications for duality and gauge symmetry in quantum chromodynamics.

Contribution

It demonstrates that HLS models exhibit chiral restoration at large N_f through loop corrections, connecting to conformal phase transitions and duality in QCD.

Findings

HLS acts as a magnetic gauge symmetry similar to Seiberg duality.

Chiral restoration occurs via loop corrections in HLS at large N_f.

HLS model respects Georgi's vector limit near N_f ≈ 7.

Abstract

It is observed that the Hidden Local Symmetry (HLS) for the vector mesons in the ordinary QCD with smaller N_f plays the role of the "Higgsed magnetic gauge symmetry" for the Seiberg duality in the SUSY QCD. For large N_f where the conformal phase transition with chiral restoration and deconfinement is expected to take place, we find that the HLS model also exhibits the chiral restoration by the loop corrections (including the quadratic divergence) in a manner similar to that in the CP^{N-1} model, provided that the bare HLS Lagrangian respects the Georgi's vector limit at a certain N_f (\approx 7).