Effective Abelian Lattice Gauge Field Theories for scalar-matter-monopole interactions
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| author | Farakos, K. Koutsoumbas, G. Mavromatos, Nick E. |
| author_facet | Farakos, K. Koutsoumbas, G. Mavromatos, Nick E. |
| contents | We present a gauge and Lorentz invariant effective field theory model for the interaction of a charged scalar matter field with a magnetic monopole source, described by an external magnetic current. The quantum fluctuations of the monopole field are described effectively by a strongly-coupled ``dual'' $U_{\rm d}(1)$ gauge field, which is independent of the electromagnetic $U_{\rm em}(1)$ gauge field. The effective interactions of the charged matter with the monopole source are described by a gauge invariant mixed Chern-Simons-like (Pontryagin-density) term between the two $U(1)$ gauge fields. The latter interaction coupling is left free, and a Lattice study of the system is performed with the aim of determining the phase structure of this effective theory. Our study shows that, in the spontaneously-broken-symmetry phase, the monopole source triggers, via the mixed Chern-Simons term, which is non-trivial in its presence, the generation of a dynamical singular configuration (magnetic-monopole-like) for the respective gauge fields. The scalar field also behaves in the broken phase in a way similar to that of the scalar sector of the `t Hooft-Polyakov monopole. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12101 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effective Abelian Lattice Gauge Field Theories for scalar-matter-monopole interactions Farakos, K. Koutsoumbas, G. Mavromatos, Nick E. High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology We present a gauge and Lorentz invariant effective field theory model for the interaction of a charged scalar matter field with a magnetic monopole source, described by an external magnetic current. The quantum fluctuations of the monopole field are described effectively by a strongly-coupled ``dual'' $U_{\rm d}(1)$ gauge field, which is independent of the electromagnetic $U_{\rm em}(1)$ gauge field. The effective interactions of the charged matter with the monopole source are described by a gauge invariant mixed Chern-Simons-like (Pontryagin-density) term between the two $U(1)$ gauge fields. The latter interaction coupling is left free, and a Lattice study of the system is performed with the aim of determining the phase structure of this effective theory. Our study shows that, in the spontaneously-broken-symmetry phase, the monopole source triggers, via the mixed Chern-Simons term, which is non-trivial in its presence, the generation of a dynamical singular configuration (magnetic-monopole-like) for the respective gauge fields. The scalar field also behaves in the broken phase in a way similar to that of the scalar sector of the `t Hooft-Polyakov monopole. |
| title | Effective Abelian Lattice Gauge Field Theories for scalar-matter-monopole interactions |
| topic | High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2401.12101 |