Geometric Construction of non-linear Sigma models with Q-ball/Q-kink solutions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911959891312640 |
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| author | Alonso-Izquierdo, A. Martinez, D. Canillas Sanchez, C. Garzon Leon, M. A. Gonzalez |
| author_facet | Alonso-Izquierdo, A. Martinez, D. Canillas Sanchez, C. Garzon Leon, M. A. Gonzalez |
| contents | Non-linear Sigma models involving U(1) symmetry group are studied using a geometrical formalism. In this type of models, Q-balls and Q-Kinks solutions are found. The geometrical framework described in this article allows the identification of the necessary conditions on the metric and the potential to guarantee the existence of these Q-balls and Q-Kinks. Using this procedure, Sigma models where both types of solutions coexist, have been identified. Only the internal rotational frequency distinguishes which one of these defects will arise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_12728 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Geometric Construction of non-linear Sigma models with Q-ball/Q-kink solutions Alonso-Izquierdo, A. Martinez, D. Canillas Sanchez, C. Garzon Leon, M. A. Gonzalez High Energy Physics - Theory Mathematical Physics Non-linear Sigma models involving U(1) symmetry group are studied using a geometrical formalism. In this type of models, Q-balls and Q-Kinks solutions are found. The geometrical framework described in this article allows the identification of the necessary conditions on the metric and the potential to guarantee the existence of these Q-balls and Q-Kinks. Using this procedure, Sigma models where both types of solutions coexist, have been identified. Only the internal rotational frequency distinguishes which one of these defects will arise. |
| title | Geometric Construction of non-linear Sigma models with Q-ball/Q-kink solutions |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2311.12728 |