A New Solution to the Callan Rubakov Effect
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909392935321600 |
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| author | Brennan, T. Daniel |
| author_facet | Brennan, T. Daniel |
| contents | In this paper we study the scattering of massive fermions off of smooth, spherically symmetric monopoles in $4d$ $SU(2)$ gauge theory. We propose a complete physical picture of the monopole-fermion interaction which encompasses all angular momentum modes. We show that as an in-going fermion scatters off a monopole, it excites trapped $W$-bosons in the monopole core by a version of the Witten effect so that the monopole can accrue charge and transform into a dyon at parametrically low energies. The imparted electric charge is then protected from decay by an emergent $\mathbb{Z}_N$ generalized global symmetry, creating a stable dyon. At sufficiently low energies, the scattered fermion can be trapped by the dyon's electrostatic potential, forming a bound state, which can decay into spherically symmetric fermion modes subject to the preserved $\mathbb{Z}_N$ global symmetry. We propose that monopole-fermion scattering can be described in this way without needing to add ``new'' states to the Hilbert space, thereby eliminating a long standing confusion in the Callan Rubakov effect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00680 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A New Solution to the Callan Rubakov Effect Brennan, T. Daniel High Energy Physics - Theory High Energy Physics - Phenomenology In this paper we study the scattering of massive fermions off of smooth, spherically symmetric monopoles in $4d$ $SU(2)$ gauge theory. We propose a complete physical picture of the monopole-fermion interaction which encompasses all angular momentum modes. We show that as an in-going fermion scatters off a monopole, it excites trapped $W$-bosons in the monopole core by a version of the Witten effect so that the monopole can accrue charge and transform into a dyon at parametrically low energies. The imparted electric charge is then protected from decay by an emergent $\mathbb{Z}_N$ generalized global symmetry, creating a stable dyon. At sufficiently low energies, the scattered fermion can be trapped by the dyon's electrostatic potential, forming a bound state, which can decay into spherically symmetric fermion modes subject to the preserved $\mathbb{Z}_N$ global symmetry. We propose that monopole-fermion scattering can be described in this way without needing to add ``new'' states to the Hilbert space, thereby eliminating a long standing confusion in the Callan Rubakov effect. |
| title | A New Solution to the Callan Rubakov Effect |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2309.00680 |