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Patterns and partners for chiral symmetry restoration
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abstract
We present and analyze a new set of Ward Identities which shed light on the distinction between different patterns of chiral symmetry restoration in QCD, namely $O(4)$ vs $O(4)\times U(1)_A$. The degeneracy of chiral partners for all scalar and pseudoscalar meson nonet members are studied through their corresponding correlators. Around chiral symmetry degeneration of $O(4)$ partners, our analysis predicts that $U(1)_A$ partners are also degenerated. Our analysis also leads to $I=1/2$ scalar-pseudoscalar partner degeneration at exact chiral restoration, and supports ideal mixing between the $\eta$-$\eta^\prime$ and the $f_0(500)$-$f_0(980)$ mesons at $O(4)\times U(1)_A$ restoration, with a possible range where the pseudoscalar mixing vanishes if the two transitions are well separated. We test our results with lattice data and provide further relevant observables regarding chiral and $U(1)_A$ restoration for future lattice and model analyses.
Forward citations
Cited by 2 Pith papers
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Probing the chiral and $U(1)$ axial symmetry restoration via meson susceptibilities in holographic QCD
In a soft-wall holographic QCD model, chiral symmetry restores at ~155 MeV while the U(1) axial symmetry restores near 190 MeV — a separation the authors present despite an admitted mismatch with lattice QCD below 175 MeV.
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Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD
In high-temperature two-flavor lattice QCD, the axial U(1) and topological susceptibilities nearly vanish at small quark mass, consistent with axial U(1) symmetry restoration in the chiral limit.
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