$CP$ phase structure of QCD from functional renormalization group
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917538239086592 |
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| author | Guan, Yuepeng Matsuzaki, Shinya Yamada, Masatoshi |
| author_facet | Guan, Yuepeng Matsuzaki, Shinya Yamada, Masatoshi |
| contents | We study the low-energy properties of QCD-like theories in the presence of a $P$-odd and $U(1)$ axial breaking four-fermion operator $\left( \barψ ψ\right) \left( \barψ i γ_5 ψ\right)$. We apply the functional renormalization group for a low-energy effective theory involving the $CP$-violating operator. We find that allowing for the running gauge coupling, the $CP$-violating four-fermion interaction becomes relevant in the chirally broken phase. In the presence of a finite quark mass, the RG running of the $θ$-parameter is shown to be strongly suppressed toward the infrared. The present work clarifies how strong-$CP$ effects generated at UV can non-trivially be transferred to the infrared physics in QCD-like theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27868 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $CP$ phase structure of QCD from functional renormalization group Guan, Yuepeng Matsuzaki, Shinya Yamada, Masatoshi High Energy Physics - Phenomenology High Energy Physics - Theory We study the low-energy properties of QCD-like theories in the presence of a $P$-odd and $U(1)$ axial breaking four-fermion operator $\left( \barψ ψ\right) \left( \barψ i γ_5 ψ\right)$. We apply the functional renormalization group for a low-energy effective theory involving the $CP$-violating operator. We find that allowing for the running gauge coupling, the $CP$-violating four-fermion interaction becomes relevant in the chirally broken phase. In the presence of a finite quark mass, the RG running of the $θ$-parameter is shown to be strongly suppressed toward the infrared. The present work clarifies how strong-$CP$ effects generated at UV can non-trivially be transferred to the infrared physics in QCD-like theories. |
| title | $CP$ phase structure of QCD from functional renormalization group |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.27868 |