Numerical Evaluation of a Soliton Pair with Long Range Interaction
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866914314967842816 |
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| author | Wabnig, Joachim Resch, Josef Theuerkauf, Dominik Anmasser, Fabian Faber, Manfried |
| author_facet | Wabnig, Joachim Resch, Josef Theuerkauf, Dominik Anmasser, Fabian Faber, Manfried |
| contents | Within the model of topological particles (MTP) we determine the interaction energy of monopole pairs, sources and sinks of a Coulombic field. The monopoles are represented by topological solitons of finite size and mass, described by a field without any divergences. We fix the soliton centres in numerical calculations at varying distance. Due to the finite size of the solitons we get deviations from the Coulomb potential at distances of a few soliton radii. We compare the numerical results for these deviations with the running of the coupling in perturbative QED. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2210_13374 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Numerical Evaluation of a Soliton Pair with Long Range Interaction Wabnig, Joachim Resch, Josef Theuerkauf, Dominik Anmasser, Fabian Faber, Manfried High Energy Physics - Lattice Within the model of topological particles (MTP) we determine the interaction energy of monopole pairs, sources and sinks of a Coulombic field. The monopoles are represented by topological solitons of finite size and mass, described by a field without any divergences. We fix the soliton centres in numerical calculations at varying distance. Due to the finite size of the solitons we get deviations from the Coulomb potential at distances of a few soliton radii. We compare the numerical results for these deviations with the running of the coupling in perturbative QED. |
| title | Numerical Evaluation of a Soliton Pair with Long Range Interaction |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2210.13374 |