Consistent chiral limit in on-shell renormalized quark-meson model with ChPT scaling
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917801783984128 |
|---|---|
| author | Tiwari, Vivek Kumar |
| author_facet | Tiwari, Vivek Kumar |
| contents | 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 $ has been used in the renormalized $2+1$ flavor quark-meson (RQM) model,~to find a consistent path to chiral limit as the $π\ \text{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 $U_{A}(1)$ 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 $m_π-m_{K}$ and $μ-m_{K}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08461 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Consistent chiral limit in on-shell renormalized quark-meson model with ChPT scaling Tiwari, Vivek Kumar High Energy Physics - Phenomenology Nuclear Theory 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 $ has been used in the renormalized $2+1$ flavor quark-meson (RQM) model,~to find a consistent path to chiral limit as the $π\ \text{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 $U_{A}(1)$ 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 $m_π-m_{K}$ and $μ-m_{K}$ 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. |
| title | Consistent chiral limit in on-shell renormalized quark-meson model with ChPT scaling |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2410.08461 |