A note on instantons, $θ$-dependence and strong CP
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914256636608512 |
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| author | Khoze, Valentin V. |
| author_facet | Khoze, Valentin V. |
| contents | I review the standard instanton framework for determining the $θ$-dependence of instanton-dominated correlation functions in QCD. I then contrast these well-established semiclassical results with the recent assertion of [1,2], that $θ$-phases are absent and that strong interactions preserve CP for all values of $θ$. In all scenarios considered, the $θ$-dependence is shown to be intrinsically non-trivial, being governed either by instantons in the weak-coupling regime or by alternative, non-perturbative considerations when the theory is strongly coupled. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_06827 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on instantons, $θ$-dependence and strong CP Khoze, Valentin V. High Energy Physics - Phenomenology High Energy Physics - Theory I review the standard instanton framework for determining the $θ$-dependence of instanton-dominated correlation functions in QCD. I then contrast these well-established semiclassical results with the recent assertion of [1,2], that $θ$-phases are absent and that strong interactions preserve CP for all values of $θ$. In all scenarios considered, the $θ$-dependence is shown to be intrinsically non-trivial, being governed either by instantons in the weak-coupling regime or by alternative, non-perturbative considerations when the theory is strongly coupled. |
| title | A note on instantons, $θ$-dependence and strong CP |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.06827 |