Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866913261374406656 |
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| author | Wen, Rui Yin, Shi Fu, Wei-jie Huang, Mei |
| author_facet | Wen, Rui Yin, Shi Fu, Wei-jie Huang, Mei |
| contents | We calculated the masses of neutral and charged pion and pion decay constants under an extra magnetic field at zero temperature. The quantum fluctuations are integrated through the functional renormalization group. We consider the quark and meson propagators in the Landau level representation and weak-field expansion, respectively. The neutral pion mass monotonically decreases with the magnetic field, while the charged pion mass monotonically increases with the magnetic field. The pion decay constant and the quark mass show the magnetic catalysis behavior at vanishing temperature. The neutral pion mass and pion decay constant are quantitatively in agreement with the lattice QCD results in the region of $eB < 1.2 {\rm GeV}^2$, and no non-monotonic mass behavior for charged pion has been observed in this framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_04045 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model Wen, Rui Yin, Shi Fu, Wei-jie Huang, Mei High Energy Physics - Phenomenology We calculated the masses of neutral and charged pion and pion decay constants under an extra magnetic field at zero temperature. The quantum fluctuations are integrated through the functional renormalization group. We consider the quark and meson propagators in the Landau level representation and weak-field expansion, respectively. The neutral pion mass monotonically decreases with the magnetic field, while the charged pion mass monotonically increases with the magnetic field. The pion decay constant and the quark mass show the magnetic catalysis behavior at vanishing temperature. The neutral pion mass and pion decay constant are quantitatively in agreement with the lattice QCD results in the region of $eB < 1.2 {\rm GeV}^2$, and no non-monotonic mass behavior for charged pion has been observed in this framework. |
| title | Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2306.04045 |