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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.12021 |
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| _version_ | 1866910126277918720 |
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| author | Faber, Manfried Golubich, Rudolf |
| author_facet | Faber, Manfried Golubich, Rudolf |
| contents | We determine the interaction potential of a solitonic dipole in the singlet state, modeled as an SU(2) field, using improved lattice simulations of two stationary solitons at varying separations. The potential is extracted from the energy of two-soliton configurations as a function of distance. At large separations, the interaction reproduces the classical Coulomb potential quantitatively up to an energy shift $δE_\infty\approx 9\;\text{keV}$ of the fitted asymptotic constant relative to $2m_ec_0^2$, assumed to be related to limited numerical precision on the lattice. At shorter distances, deviations from the Coloumb potential of point-like charges appear, that are in qualitative agreement with the asymptotic formula of perturbative Quantum Electrodynamics, reflecting the running of the fine-structure constant, with the inverse fine-structure constant ($α^{-1} \approx 137$) reproduced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12021 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | High-precision lattice determination of the interaction potential of an SU(2) solitonic dipole and comparison with perturbative QED Faber, Manfried Golubich, Rudolf High Energy Physics - Lattice We determine the interaction potential of a solitonic dipole in the singlet state, modeled as an SU(2) field, using improved lattice simulations of two stationary solitons at varying separations. The potential is extracted from the energy of two-soliton configurations as a function of distance. At large separations, the interaction reproduces the classical Coulomb potential quantitatively up to an energy shift $δE_\infty\approx 9\;\text{keV}$ of the fitted asymptotic constant relative to $2m_ec_0^2$, assumed to be related to limited numerical precision on the lattice. At shorter distances, deviations from the Coloumb potential of point-like charges appear, that are in qualitative agreement with the asymptotic formula of perturbative Quantum Electrodynamics, reflecting the running of the fine-structure constant, with the inverse fine-structure constant ($α^{-1} \approx 137$) reproduced. |
| title | High-precision lattice determination of the interaction potential of an SU(2) solitonic dipole and comparison with perturbative QED |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2604.12021 |