Phase Transitions at Unusual Values of $θ$
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908453512937472 |
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| author | Csáki, Csaba Kawano, Teruhiko Murayama, Hitoshi Telem, Ofri |
| author_facet | Csáki, Csaba Kawano, Teruhiko Murayama, Hitoshi Telem, Ofri |
| contents | We calculate the $θ$ dependence in a cousin of QCD, where the vacuum structure can be analyzed exactly. The theory is $\mathcal{N}=2$ $SU(2)$ gauge theory with $N_F=0,1,2,3$ flavors of fundamentals, explicitly broken to $\mathcal{N}=1$ via an adjoint superpotential, and coupled to anomaly mediated supersymmetry breaking (AMSB). The hierarchy $m_{AMSB}\ll μ_{\mathcal{N}=1}\ll Λ$ ensures the validity of our IR analysis. As expected from ordinary QCD, the vacuum energy is a function of $θ$ which undergoes 1st order phase transitions between different vacua where the various dyons condense. For $N_F=0$ we find the expected phase transition at $θ=π$, while for $N_F=1,2,3$ we find phase transitions at fractional values of $π$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14879 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase Transitions at Unusual Values of $θ$ Csáki, Csaba Kawano, Teruhiko Murayama, Hitoshi Telem, Ofri High Energy Physics - Theory High Energy Physics - Phenomenology We calculate the $θ$ dependence in a cousin of QCD, where the vacuum structure can be analyzed exactly. The theory is $\mathcal{N}=2$ $SU(2)$ gauge theory with $N_F=0,1,2,3$ flavors of fundamentals, explicitly broken to $\mathcal{N}=1$ via an adjoint superpotential, and coupled to anomaly mediated supersymmetry breaking (AMSB). The hierarchy $m_{AMSB}\ll μ_{\mathcal{N}=1}\ll Λ$ ensures the validity of our IR analysis. As expected from ordinary QCD, the vacuum energy is a function of $θ$ which undergoes 1st order phase transitions between different vacua where the various dyons condense. For $N_F=0$ we find the expected phase transition at $θ=π$, while for $N_F=1,2,3$ we find phase transitions at fractional values of $π$. |
| title | Phase Transitions at Unusual Values of $θ$ |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.14879 |