Baseline Topological Coupling from Low-Energy U(1) Matching
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2026
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| _version_ | 1866901590825238528 |
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| author | Pan, Guojun |
| author_facet | Pan, Guojun |
| contents | <div class="page"> <div class="layoutArea"> <div class="column"> <p>A persistent source of confusion in CFUT-style topological coupling discussions is the conflation of four logically distinct objects: the structural coupling seat λstruct, the baseline bare coupling λ0, an effective dressed coupling λeff, and experimentally inferred composite values λobs. This paper isolates the baseline normalization problem and studies it independently of any broader structural classification program. We assume only that a low-energy U (1) projection exists and that the relevant topological bulk term is normalized through F ∧ F . Under these minimal matching assumptions, coefficient comparison with the standard theta term of axion electrodynamics yields the conditional theorem λ0 = θe2 = 4παθ. We then show how alternative normalization choices such as 1/(16π2) versus 1/(32π2) generate the commonly quoted numerical variants 2παθ and 4παθ, and we formu- late a simple governance rule preventing those conventions from being conflated. We further show that this matching already fixes an α-anchored baseline scale for downstream benchmark quantities, while still leaving the branch parameter θ and all dressing maps open. A separate section records the benchmark specialization λ0 = 4πα under the additional assumption θ = 1, emphasizing that this stronger statement does not follow from the matching theorem alone. The paper is intended as a self-contained normalization and matching note: it does not re-prove any two-sector structural theorem and does not claim that the value of θ has already been fixed from first principles.</p> </div> </div> </div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20234355 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Baseline Topological Coupling from Low-Energy U(1) Matching Pan, Guojun topological coupling axion electrodynamics <div class="page"> <div class="layoutArea"> <div class="column"> <p>A persistent source of confusion in CFUT-style topological coupling discussions is the conflation of four logically distinct objects: the structural coupling seat λstruct, the baseline bare coupling λ0, an effective dressed coupling λeff, and experimentally inferred composite values λobs. This paper isolates the baseline normalization problem and studies it independently of any broader structural classification program. We assume only that a low-energy U (1) projection exists and that the relevant topological bulk term is normalized through F ∧ F . Under these minimal matching assumptions, coefficient comparison with the standard theta term of axion electrodynamics yields the conditional theorem λ0 = θe2 = 4παθ. We then show how alternative normalization choices such as 1/(16π2) versus 1/(32π2) generate the commonly quoted numerical variants 2παθ and 4παθ, and we formu- late a simple governance rule preventing those conventions from being conflated. We further show that this matching already fixes an α-anchored baseline scale for downstream benchmark quantities, while still leaving the branch parameter θ and all dressing maps open. A separate section records the benchmark specialization λ0 = 4πα under the additional assumption θ = 1, emphasizing that this stronger statement does not follow from the matching theorem alone. The paper is intended as a self-contained normalization and matching note: it does not re-prove any two-sector structural theorem and does not claim that the value of θ has already been fixed from first principles.</p> </div> </div> </div> |
| title | Baseline Topological Coupling from Low-Energy U(1) Matching |
| topic | topological coupling axion electrodynamics |
| url | https://doi.org/10.5281/zenodo.20234355 |