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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.15552 |
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| _version_ | 1866916393336700928 |
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| author | Bolognesi, Stefano Bucciotti, Bruno Luzio, Andrea |
| author_facet | Bolognesi, Stefano Bucciotti, Bruno Luzio, Andrea |
| contents | The scattering of electrically charged fermions on magnetic monopole leads to the Callan-Rubakov problem. We discuss some aspects of this problem for Abelian gauge theories with chiral fermions in a Dirac monopole background. In some cases, it is possible to embed the theory in a non-Abelian gauge theory where the monopole is regularized as a 't Hooft-Polyakov monopole. One theory of this kind is the $SU(N)$ chiral gauge theory with fermions in the symmetric, anti-antisymmetric and anti-fundamental representations also called "$ψχη$" model, with an extra adjoint scalar that induces the Abelianization of the gauge group. We examine this model in detail and provide a possible solution for the condensates around the monopole, the symmetry preserving boundary conditions, and discuss the particle scattering problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15552 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Monopole-Fermion Problem in a Chiral Gauge Theory (the $ψχη$ Model) Bolognesi, Stefano Bucciotti, Bruno Luzio, Andrea High Energy Physics - Theory The scattering of electrically charged fermions on magnetic monopole leads to the Callan-Rubakov problem. We discuss some aspects of this problem for Abelian gauge theories with chiral fermions in a Dirac monopole background. In some cases, it is possible to embed the theory in a non-Abelian gauge theory where the monopole is regularized as a 't Hooft-Polyakov monopole. One theory of this kind is the $SU(N)$ chiral gauge theory with fermions in the symmetric, anti-antisymmetric and anti-fundamental representations also called "$ψχη$" model, with an extra adjoint scalar that induces the Abelianization of the gauge group. We examine this model in detail and provide a possible solution for the condensates around the monopole, the symmetry preserving boundary conditions, and discuss the particle scattering problem. |
| title | The Monopole-Fermion Problem in a Chiral Gauge Theory (the $ψχη$ Model) |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.15552 |