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The scaling of pion, kaon decay constants \(f_{\pi }, f_{K} { and}M_{\eta }^2 = m_{\eta }^2 + m_{\eta ^{\prime }}^2 { givenbytheinfraredregularizedchiralperturbationtheory}({ ChPT}),\,{ hasbeenexploitedintherenormalized}2+1\) flavor quark-meson (RQM) model, to find a consistent path to chiral limit as the \(\pi { and} K \) meson masses approach zero. The Columbia plot is generated free from any ambiguity in model parameter fixing away from the physical point. The on-shell renormalizion of parameters in the RQM model, make the axial \(U_{A}(1)\) anomaly significantly stronger while light and strange chiral symmetry breaking strengths turn weaker. Due to the above features, the first order chiral transition region in the \(m_{\pi }-m_{K} { and}\mu -m_{K} \) planes, increases noticeably in the Columbia plot of RQM model when the results are comapred with a recent functional renormalization group study.

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Exploiting ChPT to Find Consistent Chiral Limit Path in the Renormalized Quark-Meson Model

  • 会议论文

  • 发表日期：

    2025年

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  • Vivek Kumar Tiwari

摘要

The scaling of pion, kaon decay constants \(f_{\pi }, f_{K} { and}M_{\eta }^2 = m_{\eta }^2 + m_{\eta ^{\prime }}^2 { givenbytheinfraredregularizedchiralperturbationtheory}({ ChPT}),\,{ hasbeenexploitedintherenormalized}2+1\) flavor quark-meson (RQM) model, to find a consistent path to chiral limit as the \(\pi { and} K \) meson masses approach zero. The Columbia plot is generated free from any ambiguity in model parameter fixing away from the physical point. The on-shell renormalizion of parameters in the RQM model, make the axial \(U_{A}(1)\) anomaly significantly stronger while light and strange chiral symmetry breaking strengths turn weaker. Due to the above features, the first order chiral transition region in the \(m_{\pi }-m_{K} { and}\mu -m_{K} \) planes, increases noticeably in the Columbia plot of RQM model when the results are comapred with a recent functional renormalization group study.