Dyon in the SU(2) Yang–Mills theory with a gauge-invariant gluon mass toward quark confinement
Abstract In the previous paper, we have shown the existence of magnetic monopoles in the pure SU(2) Yang–Mills theory with a gauge-invariant mass term for the gluon field being introduced. In this paper, we extend our previous construction of magnetic monopoles to obtain dyons with both magnetic and...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-8003-x |
| _version_ | 1818295452817162240 |
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| author | Shogo Nishino Kei-Ichi Kondo |
| author_facet | Shogo Nishino Kei-Ichi Kondo |
| author_sort | Shogo Nishino |
| collection | DOAJ |
| description | Abstract In the previous paper, we have shown the existence of magnetic monopoles in the pure SU(2) Yang–Mills theory with a gauge-invariant mass term for the gluon field being introduced. In this paper, we extend our previous construction of magnetic monopoles to obtain dyons with both magnetic and electric charges. In fact, we solve under the static and spherically symmetric ansatz the field equations of the SU(2) “complementary” gauge-scalar model, which is the SU(2) Yang–Mills theory coupled to a single adjoint scalar field whose radial degree of freedom is eliminated. We show that the novel dyon solution can be identified with the gauge field configuration of a dyon with a minimum magnetic charge in the massive Yang–Mills theory. Moreover, we compare the dyon of the massive Yang–Mills theory obtained in this way with the Julia–Zee dyon in the Georgi–Glashow gauge-Higgs scalar model and the dyonic extension of the Wu–Yang magnetic monopole in the pure Yang–Mills theory. Finally, we identify the novel dyon solution found in this paper with a dyon configuration on $$S^1 \times {\mathbb {R}}^3$$ S1×R3 space with nontrivial holonomy and propose to use it to understand the confinement/deconfinement phase transition in the Yang–Mills theory at finite temperature, instead of using the dyons constituting the Kraan–van Baal–Lee–Lu caloron. |
| first_indexed | 2024-12-13T03:47:52Z |
| format | Article |
| id | doaj.art-ed5560e913404f9ea6e6e01745ab9fb1 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-13T03:47:52Z |
| publishDate | 2020-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-ed5560e913404f9ea6e6e01745ab9fb12022-12-22T00:00:47ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-05-0180511910.1140/epjc/s10052-020-8003-xDyon in the SU(2) Yang–Mills theory with a gauge-invariant gluon mass toward quark confinementShogo Nishino0Kei-Ichi Kondo1Department of Physics, Graduate School of Science, Chiba UniversityDepartment of Physics, Graduate School of Science, Chiba UniversityAbstract In the previous paper, we have shown the existence of magnetic monopoles in the pure SU(2) Yang–Mills theory with a gauge-invariant mass term for the gluon field being introduced. In this paper, we extend our previous construction of magnetic monopoles to obtain dyons with both magnetic and electric charges. In fact, we solve under the static and spherically symmetric ansatz the field equations of the SU(2) “complementary” gauge-scalar model, which is the SU(2) Yang–Mills theory coupled to a single adjoint scalar field whose radial degree of freedom is eliminated. We show that the novel dyon solution can be identified with the gauge field configuration of a dyon with a minimum magnetic charge in the massive Yang–Mills theory. Moreover, we compare the dyon of the massive Yang–Mills theory obtained in this way with the Julia–Zee dyon in the Georgi–Glashow gauge-Higgs scalar model and the dyonic extension of the Wu–Yang magnetic monopole in the pure Yang–Mills theory. Finally, we identify the novel dyon solution found in this paper with a dyon configuration on $$S^1 \times {\mathbb {R}}^3$$ S1×R3 space with nontrivial holonomy and propose to use it to understand the confinement/deconfinement phase transition in the Yang–Mills theory at finite temperature, instead of using the dyons constituting the Kraan–van Baal–Lee–Lu caloron.http://link.springer.com/article/10.1140/epjc/s10052-020-8003-x |
| spellingShingle | Shogo Nishino Kei-Ichi Kondo Dyon in the SU(2) Yang–Mills theory with a gauge-invariant gluon mass toward quark confinement European Physical Journal C: Particles and Fields |
| title | Dyon in the SU(2) Yang–Mills theory with a gauge-invariant gluon mass toward quark confinement |
| title_full | Dyon in the SU(2) Yang–Mills theory with a gauge-invariant gluon mass toward quark confinement |
| title_fullStr | Dyon in the SU(2) Yang–Mills theory with a gauge-invariant gluon mass toward quark confinement |
| title_full_unstemmed | Dyon in the SU(2) Yang–Mills theory with a gauge-invariant gluon mass toward quark confinement |
| title_short | Dyon in the SU(2) Yang–Mills theory with a gauge-invariant gluon mass toward quark confinement |
| title_sort | dyon in the su 2 yang mills theory with a gauge invariant gluon mass toward quark confinement |
| url | http://link.springer.com/article/10.1140/epjc/s10052-020-8003-x |
| work_keys_str_mv | AT shogonishino dyoninthesu2yangmillstheorywithagaugeinvariantgluonmasstowardquarkconfinement AT keiichikondo dyoninthesu2yangmillstheorywithagaugeinvariantgluonmasstowardquarkconfinement |