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Thermal properties and evolution of the $U_A(1)$ factor for 2+1 flavors

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abstract

Thermal evolution of the axial anomaly is investigated in the system of the linear sigma model for $2+1$ flavors. We explore the functional form of the effective potential and the coefficient of the `t Hooft determinant term. It is found that the latter develops a non-trivial structure as a function of the chiral condensate and grows everywhere with respect to the temperature. This shows that mesonic fluctuations strengthen the axial anomaly at finite temperature and it does not get vanished at the critical point. The phenomenon has been found to have significance in the thermal properties of the mesonic spectra, especially concerning the $\eta-\eta'$ system.

fields

hep-ph 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

FRG analysis of dense two-color QCD within the linear sigma model

hep-ph · 2026-06-30 · unverdicted · novelty 4.0

FRG analysis in the linear sigma model for QC2D shows enhanced meson U(1)_A anomaly couplings with increasing mu_q but suppressed topological susceptibility following chiral restoration at high density or temperature.

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  • FRG analysis of dense two-color QCD within the linear sigma model hep-ph · 2026-06-30 · unverdicted · none · ref 34 · internal anchor

    FRG analysis in the linear sigma model for QC2D shows enhanced meson U(1)_A anomaly couplings with increasing mu_q but suppressed topological susceptibility following chiral restoration at high density or temperature.