Comparison of chiral limit studies in curvature mass versus on-shell renormalized quark-meson model using ChPT
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916940176424960 |
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| author | Tiwari, Vivek Kumar |
| author_facet | Tiwari, Vivek Kumar |
| contents | Consistent chiral limit has been investigated in the curvature mass parametrized quark-meson (QM) model with the quark one-loop vacuum term (QMVT) employing the infrared regularized Chiral perturbation theory (ChPT) predicted scaling of the pion,~kaon decay constants $f_π, f_{K} $ and $M_η^2 = m_η^2 + m_{η^{\prime}}^2 $ when the $π\ \text{and} \ K $ meson masses are reduced as one moves away from the physical point in the Columbia plot.~Comparing the QMVT model Columbia plots with the corresponding Columbia plots computed,~in the very recent work of Ref.~\cite{vkt25} using the on-shell renormalized QM (RQM) model and the earlier work of Ref.~\cite{Resch} using functional renormalization group techniques in the extended mean field approximation of QM (e-MFA:QM-FRG) model,~it has been estimated how the first, second and crossover chiral transition regions in the $m_π-m_{K}$($m_{ud}-m_{s}$) and the $μ-m_{K}$($μ-m_{s}$) planes,~get modified by different methods of implementing the quark one-loop vacuum fluctuations in the QM model.~Since both the e-MFA:QM-FRG and the QMVT model,~use curvature meson masses to fix the parameters and the dimensional regularization of vacuum divergences are incorporated equivalently,~the differences in their results can be attributed to different methods of approaching the chiral limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04597 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Comparison of chiral limit studies in curvature mass versus on-shell renormalized quark-meson model using ChPT Tiwari, Vivek Kumar High Energy Physics - Phenomenology Consistent chiral limit has been investigated in the curvature mass parametrized quark-meson (QM) model with the quark one-loop vacuum term (QMVT) employing the infrared regularized Chiral perturbation theory (ChPT) predicted scaling of the pion,~kaon decay constants $f_π, f_{K} $ and $M_η^2 = m_η^2 + m_{η^{\prime}}^2 $ when the $π\ \text{and} \ K $ meson masses are reduced as one moves away from the physical point in the Columbia plot.~Comparing the QMVT model Columbia plots with the corresponding Columbia plots computed,~in the very recent work of Ref.~\cite{vkt25} using the on-shell renormalized QM (RQM) model and the earlier work of Ref.~\cite{Resch} using functional renormalization group techniques in the extended mean field approximation of QM (e-MFA:QM-FRG) model,~it has been estimated how the first, second and crossover chiral transition regions in the $m_π-m_{K}$($m_{ud}-m_{s}$) and the $μ-m_{K}$($μ-m_{s}$) planes,~get modified by different methods of implementing the quark one-loop vacuum fluctuations in the QM model.~Since both the e-MFA:QM-FRG and the QMVT model,~use curvature meson masses to fix the parameters and the dimensional regularization of vacuum divergences are incorporated equivalently,~the differences in their results can be attributed to different methods of approaching the chiral limit. |
| title | Comparison of chiral limit studies in curvature mass versus on-shell renormalized quark-meson model using ChPT |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.04597 |