Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition --

By M. Harada, K. Yamawaki. 2003

435 citations recorded by the source corpus.

We develop an effective field theory of QCD and QCD-like theories, based on the hidden local symmetry (HLS) model. We formulate the chiral perturbation theory with loops of rho as well as pi and further include quadratic divergences which are crucial to the chiral phase transition. Detailed calculations of the one-loop renormalization-group equation of the parameters of the HLS model are given, with the bare parameters (defined at cutoff Lambda) determined by the matching (``Wilsonian matching'') with the underlying QCD at Lambda through the operator-product expansion of current correlators. The Wilsonian matching predicts low energy phenomenology for the three-flavored QCD in remarkable agreement with the experiments. When the chiral symmetry restoration takes place in the underlying QCD, the HLS model uniquely leads to the Vector Manifestation (VM) as a new pattern of Wigner realization of chiral symmetry, with the rho becoming degenerate with the massless pi as the chiral partner. The VM is in fact realized in the large Nf QCD when Nf to Nf^{crit}-0, with Nf^{crit} = 5 Nc/3 being in rough agreement with the lattice simulation for Nc=3. The VM can be realized also in hot and/or dense QCD.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7ee35c013e6e40e68139fd7294c379a4f1bc9044

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In Nuclear and High Energy Physics

1. Ho-Ung Yee
2. M. Rho
3. Piljin Yi
4. D. Hong
5. S. Sugimoto
6. T. Sakai
7. Xiang Liu
8. Hua-Xing Chen

Citations in the corpus

• More on a holographic dual of QCD (2005, methodology): “The calculation of the ω → πγ decay amplitude is analogous to that given in [26, 22] and we obtain”
• Dynamics of baryons from string theory and vector dominance (2007, methodology): “This fixed point called “vector manifestation (VM) fixed point” (and the HLS theory with the VM fixed point called HLS/VM)[23] is characterized by g∗ = 0, a∗ = 1 (7.42) where a is the ratio of the decay constants a ≡ (fσ/fπ)2.”
• The hidden-charm pentaquark and tetraquark states (2016, methodology): “Here, the first Lagrangian was constructed based on the hidden gauge interaction for vector mesons [279, 280, 281, 282]; the third Lagrangian was introduced in Refs.”