Thin-Wall Monopoles in a False Vacuum
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| Format: | Preprint |
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2023
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| _version_ | 1866916254997020672 |
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| author | Paranjape, M. B. Saxena, Yash |
| author_facet | Paranjape, M. B. Saxena, Yash |
| contents | We study numerically the existence in a false vacuum, of magnetic monopoles which are ``thin-walled'', \ie, which correspond to a spherical region of radius $R$ that is essentially trivial surrounded by a wall of thickness $Δ\ll R$, hence the name thin wall, and finally an exterior region that essentially corresponds to a pure Abelian magnetic monopole. Such monopoles were dubbed false monopoles and can occur in non-abelian gauge theories where the symmetry-broken vacuum is actually the false vacuum. This idea was first proposed in \cite{Kumar:2010mv}, however, {the proof of the existence of thin-wall, false monopoles given there }was incorrect. Here we fill this lacuna and demonstrate numerically{, for an appropriately modifed potential,} the existence of thin-wall false monopoles. The decay via quantum tunnelling of the false monopoles could be of importance to cosmological scenarios which entertain epochs in which the universe is trapped in a symmetry broken false vacuum. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_17154 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Thin-Wall Monopoles in a False Vacuum Paranjape, M. B. Saxena, Yash High Energy Physics - Theory General Relativity and Quantum Cosmology We study numerically the existence in a false vacuum, of magnetic monopoles which are ``thin-walled'', \ie, which correspond to a spherical region of radius $R$ that is essentially trivial surrounded by a wall of thickness $Δ\ll R$, hence the name thin wall, and finally an exterior region that essentially corresponds to a pure Abelian magnetic monopole. Such monopoles were dubbed false monopoles and can occur in non-abelian gauge theories where the symmetry-broken vacuum is actually the false vacuum. This idea was first proposed in \cite{Kumar:2010mv}, however, {the proof of the existence of thin-wall, false monopoles given there }was incorrect. Here we fill this lacuna and demonstrate numerically{, for an appropriately modifed potential,} the existence of thin-wall false monopoles. The decay via quantum tunnelling of the false monopoles could be of importance to cosmological scenarios which entertain epochs in which the universe is trapped in a symmetry broken false vacuum. |
| title | Thin-Wall Monopoles in a False Vacuum |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.17154 |