Numerical evidence for a CP broken deconfined phase at $θ=π$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $θ$
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909501657972736 |
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| author | Hirasawa, Mitsuaki Honda, Masazumi Matsumoto, Akira Nishimura, Jun Yosprakob, Atis |
| author_facet | Hirasawa, Mitsuaki Honda, Masazumi Matsumoto, Akira Nishimura, Jun Yosprakob, Atis |
| contents | We investigate the possibility of the spontaneous breaking of CP symmetry in 4D SU(2) Yang-Mills at $θ=π$, which has recently attracted much attention in the context of the higher-form symmetry and the 't Hooft anomaly matching condition. Here we provide a numerical evidence that the CP symmetry is indeed spontaneously broken at low temperature and it gets restored above the deconfining temperature at $θ=π$, which is consistent with the anomaly matching condition and yet differs from the situation predicted in the large-$N$ limit. We avoid the severe sign problem by performing simulations at imaginary $θ$. We obtain the critical temperature of the CP restoration and that of deconfinement at $θ=π$ by analytic continuation, which leads to the above conclusion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09115 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical evidence for a CP broken deconfined phase at $θ=π$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $θ$ Hirasawa, Mitsuaki Honda, Masazumi Matsumoto, Akira Nishimura, Jun Yosprakob, Atis High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory We investigate the possibility of the spontaneous breaking of CP symmetry in 4D SU(2) Yang-Mills at $θ=π$, which has recently attracted much attention in the context of the higher-form symmetry and the 't Hooft anomaly matching condition. Here we provide a numerical evidence that the CP symmetry is indeed spontaneously broken at low temperature and it gets restored above the deconfining temperature at $θ=π$, which is consistent with the anomaly matching condition and yet differs from the situation predicted in the large-$N$ limit. We avoid the severe sign problem by performing simulations at imaginary $θ$. We obtain the critical temperature of the CP restoration and that of deconfinement at $θ=π$ by analytic continuation, which leads to the above conclusion. |
| title | Numerical evidence for a CP broken deconfined phase at $θ=π$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $θ$ |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.09115 |