Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2511.11382 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915946078142464 |
|---|---|
| author | Barriga, Gonzalo Henríquez-Baez, Carla Sanhueza, Leonardo Vera, Aldo |
| author_facet | Barriga, Gonzalo Henríquez-Baez, Carla Sanhueza, Leonardo Vera, Aldo |
| contents | In this paper, we construct self-gravitating topological solitons in the $SU(N)$ Einstein non-linear sigma model coupled to $ω$-vector mesons in four space-time dimensions. These solutions represent tube-like configurations free of curvature singularities, carrying a non-vanishing topological charge that is identified as the baryon number. We show that by employing the maximal embedding Ansatz of $SU(2)$ into $SU(N)$ in the exponential representation, these tubes can be constructed for an arbitrary number of flavors, $N$, with the topological charge scaling proportionally to this number. The flat-space limit of the solutions, corresponding to an array of baryonic tubes within a finite volume, is analyzed in detail. Remarkably, while the total energy of the solitons at a finite volume is an increasing function of $N$, the binding energy decreases as the number of flavors increases. This analysis reaffirms that the inclusion of more than two flavors to the model systematically improves the physical predictions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11382 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-gravitating baryonic tubes supported by $π$- and $ω$-mesons and its flat limit Barriga, Gonzalo Henríquez-Baez, Carla Sanhueza, Leonardo Vera, Aldo High Energy Physics - Theory General Relativity and Quantum Cosmology Nuclear Theory In this paper, we construct self-gravitating topological solitons in the $SU(N)$ Einstein non-linear sigma model coupled to $ω$-vector mesons in four space-time dimensions. These solutions represent tube-like configurations free of curvature singularities, carrying a non-vanishing topological charge that is identified as the baryon number. We show that by employing the maximal embedding Ansatz of $SU(2)$ into $SU(N)$ in the exponential representation, these tubes can be constructed for an arbitrary number of flavors, $N$, with the topological charge scaling proportionally to this number. The flat-space limit of the solutions, corresponding to an array of baryonic tubes within a finite volume, is analyzed in detail. Remarkably, while the total energy of the solitons at a finite volume is an increasing function of $N$, the binding energy decreases as the number of flavors increases. This analysis reaffirms that the inclusion of more than two flavors to the model systematically improves the physical predictions. |
| title | Self-gravitating baryonic tubes supported by $π$- and $ω$-mesons and its flat limit |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Nuclear Theory |
| url | https://arxiv.org/abs/2511.11382 |