Consistent chiral limit in on-shell renormalized quark-meson model with ChPT scaling

2024/10/11 by Tiwari, Vivek Kumar · 1 citation
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2410.08461

Abstract

Chiral perturbation theory (ChPT) predicted scaling of the pion,~kaon decay constants fπ, fK and Mη2 = mη2 + mη′2 has been used in the renormalized 2+1 flavor quark-meson (RQM) model,~to find a consistent path to chiral limit as the π and K meson masses approach zero.~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. The on-shell renormalization of parameters and consistent treatment of the divergent quark one-loop vacuum fluctuations in the RQM model,~make the axial UA(1) anomaly significantly stronger and the light (strange) explicit chiral symmetry breaking strength becomes weaker by a small (relatively large) amount.~The first order chiral transition region in the mπ-mK and μ-mK planes of Columbia plot,~increases due to the above novel features of the RQM model.~Comparing the softening effect of quark one-loop vacuum fluctuation on the chiral transition,~it looks overestimated in a recent functional renormalization group study.

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• Columbia plot based on symmetry-improved CJT formalism in linear sigma model

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