Flux Mixing and CP Violation in QCD
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913058228535296 |
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| author | Suzuki, Motoo |
| author_facet | Suzuki, Motoo |
| contents | We argue that kinetic mixing between topological flux sectors generates an effective shift of the QCD $\barθ$ angle, thereby inducing CP-violating effects. To demonstrate this mechanism, we analyze a $(1+1)$-dimensional $U(1)\times U(1)$ gauge theory as a controlled setting, where kinetic mixing leads to observable shifts in electric fluxes. We then extend the analysis to four dimensions using a three-form field description of QCD coupled to an additional $U(1)$ three-form gauge field. We find that hidden-sector fluxes, through kinetic mixing, shift the effective $θ$ parameter of QCD and induce a nonzero expectation value of $\langle G\tilde{G}\rangle$. We discuss the implications for the strong CP problem and clarify under which conditions standard solutions, such as axion or CP/parity-based mechanisms, are compromised or remain robust. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_21970 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Flux Mixing and CP Violation in QCD Suzuki, Motoo High Energy Physics - Phenomenology General Relativity and Quantum Cosmology High Energy Physics - Theory We argue that kinetic mixing between topological flux sectors generates an effective shift of the QCD $\barθ$ angle, thereby inducing CP-violating effects. To demonstrate this mechanism, we analyze a $(1+1)$-dimensional $U(1)\times U(1)$ gauge theory as a controlled setting, where kinetic mixing leads to observable shifts in electric fluxes. We then extend the analysis to four dimensions using a three-form field description of QCD coupled to an additional $U(1)$ three-form gauge field. We find that hidden-sector fluxes, through kinetic mixing, shift the effective $θ$ parameter of QCD and induce a nonzero expectation value of $\langle G\tilde{G}\rangle$. We discuss the implications for the strong CP problem and clarify under which conditions standard solutions, such as axion or CP/parity-based mechanisms, are compromised or remain robust. |
| title | Flux Mixing and CP Violation in QCD |
| topic | High Energy Physics - Phenomenology General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.21970 |