Speaker
Description
The present work builds upon the new results of our very recent studies in Ref. Phys. Rev. D 108, 074002 (2023) and Phys. Rev. D 109, 034025 (2024) where the divergent quark one-loop vacuum fluctuations have been consistently included in the 2+1 flavor renormalized quark meson model (RQM) and parameters are correctly renormaized by relating the counterterms in the on-shell (OS) scheme to those in the minimal subtraction $\overline{\text {MS}}$ scheme.~The axial $U_{A}(1)$ anomaly gets significantly stronger in the RQM model while the strength $h_{x}(h_{y})$ at the physical point gets reduced by a small (relatively large) amount after renormalization.~Consistent path to chiral limit as the $\pi \ \text{and} \ K $ meson masses approach zero has been obtained by combining the RQM model with the Chiral perturbation theory (ChPT) scaling of the pion,~kaon decay constants $f_{\pi}, f_{K} $ and $M_{\eta}^2 = m_{\eta}^2 + m_{\eta^{\prime}}^2 $.~The left side of the Columbia plot is generated free from any ambiguity or heuiristic adjustment in the model parameter fixing away from the physical point.~Quantifying the softening effect of quark one-loop vacuum fluctuation on the chiral transition and comparing our results with those of the recent QM model study in the functional renormalization group (FRG) framework,~we find that it is overestimated in the FRG study performed under local potential approximation.
| Field of contribution | Phenomenology |
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