Classical dynamics of vortex solitons from perturbative scattering amplitudes
Abstract We introduce a novel point-particle effective description of ANO vortex solitons in the critical Abelian Higgs Model (AHM) in d = 2 + 1 based on the small winding expansion. Identifying the effective vortices with the elementary quanta of a complex scalar field, relativistic vortex-vortex s...
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| Định dạng: | Bài viết |
| Ngôn ngữ: | English |
| Được phát hành: |
SpringerOpen
2023-11-01
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| Loạt: | Journal of High Energy Physics |
| Những chủ đề: | |
| Truy cập trực tuyến: | https://doi.org/10.1007/JHEP11(2023)092 |
| _version_ | 1827277399738286080 |
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| author | Callum R. T. Jones |
| author_facet | Callum R. T. Jones |
| author_sort | Callum R. T. Jones |
| collection | DOAJ |
| description | Abstract We introduce a novel point-particle effective description of ANO vortex solitons in the critical Abelian Higgs Model (AHM) in d = 2 + 1 based on the small winding expansion. Identifying the effective vortices with the elementary quanta of a complex scalar field, relativistic vortex-vortex scattering amplitudes are calculated as a diagrammatic, perturbative expansion in the winding number N. Making use of powerful techniques recently developed for analyzing the post-Minkowskian two-body problem in general relativity, we efficiently extract the contribution to the loop integrals from the classical potential region, with the resulting velocity expansion subsequently resummed to all orders. The main result of this paper is an analytic expression for the classical, vortex-vortex potential at O $$ \mathcal{O} $$ (N 2), or one-loop, with exact velocity dependence. By truncating the resulting effective Hamiltonian at O $$ \mathcal{O} $$ (p 2) we derive an analytic, perturbative expression for the metric on the 2-vortex moduli space. Finally, the emergence of the critical AHM from the classical limit of the N $$ \mathcal{N} $$ = 2 supersymmetric AHM, and the resulting constraints on the point-particle EFT is described in detail using an on-shell superspace construction for BPS states in d = 2 + 1. |
| first_indexed | 2024-03-10T22:22:51Z |
| format | Article |
| id | doaj.art-0d2e7fde2fa64fceb9a430aff4971c12 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:20:26Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0d2e7fde2fa64fceb9a430aff4971c122024-04-21T11:04:06ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231114110.1007/JHEP11(2023)092Classical dynamics of vortex solitons from perturbative scattering amplitudesCallum R. T. Jones0Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of California Los AngelesAbstract We introduce a novel point-particle effective description of ANO vortex solitons in the critical Abelian Higgs Model (AHM) in d = 2 + 1 based on the small winding expansion. Identifying the effective vortices with the elementary quanta of a complex scalar field, relativistic vortex-vortex scattering amplitudes are calculated as a diagrammatic, perturbative expansion in the winding number N. Making use of powerful techniques recently developed for analyzing the post-Minkowskian two-body problem in general relativity, we efficiently extract the contribution to the loop integrals from the classical potential region, with the resulting velocity expansion subsequently resummed to all orders. The main result of this paper is an analytic expression for the classical, vortex-vortex potential at O $$ \mathcal{O} $$ (N 2), or one-loop, with exact velocity dependence. By truncating the resulting effective Hamiltonian at O $$ \mathcal{O} $$ (p 2) we derive an analytic, perturbative expression for the metric on the 2-vortex moduli space. Finally, the emergence of the critical AHM from the classical limit of the N $$ \mathcal{N} $$ = 2 supersymmetric AHM, and the resulting constraints on the point-particle EFT is described in detail using an on-shell superspace construction for BPS states in d = 2 + 1.https://doi.org/10.1007/JHEP11(2023)092Effective Field TheoriesScattering AmplitudesSolitons Monopoles and Instantons |
| spellingShingle | Callum R. T. Jones Classical dynamics of vortex solitons from perturbative scattering amplitudes Journal of High Energy Physics Effective Field Theories Scattering Amplitudes Solitons Monopoles and Instantons |
| title | Classical dynamics of vortex solitons from perturbative scattering amplitudes |
| title_full | Classical dynamics of vortex solitons from perturbative scattering amplitudes |
| title_fullStr | Classical dynamics of vortex solitons from perturbative scattering amplitudes |
| title_full_unstemmed | Classical dynamics of vortex solitons from perturbative scattering amplitudes |
| title_short | Classical dynamics of vortex solitons from perturbative scattering amplitudes |
| title_sort | classical dynamics of vortex solitons from perturbative scattering amplitudes |
| topic | Effective Field Theories Scattering Amplitudes Solitons Monopoles and Instantons |
| url | https://doi.org/10.1007/JHEP11(2023)092 |
| work_keys_str_mv | AT callumrtjones classicaldynamicsofvortexsolitonsfromperturbativescatteringamplitudes |