More on bogomol’nyi equations of three-dimensional generalized maxwell-higgs model using on-shell method
We use a recent on-shell method, developed in [1], to construct Bogomol’nyi equations of the three-dimensional generalized Maxwell-Higgs model [2]. The resulting Bogomol’nyi equations are parametrized by a constant C0 and they can be classified into two types determined by the value of C0 = 0 and C0...
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| Format: | Article |
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Springer Verlag
2016
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| _version_ | 1825721101011910656 |
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| author | Atmaja, A.N. Ramadhan, H.S. da Hora, E. |
| author_facet | Atmaja, A.N. Ramadhan, H.S. da Hora, E. |
| author_sort | Atmaja, A.N. |
| collection | UM |
| description | We use a recent on-shell method, developed in [1], to construct Bogomol’nyi equations of the three-dimensional generalized Maxwell-Higgs model [2]. The resulting Bogomol’nyi equations are parametrized by a constant C0 and they can be classified into two types determined by the value of C0 = 0 and C0 ≠ 0. We identify that the Bogomol’nyi equations obtained by Bazeia et al. [2] are of the (C0 = 0)-type Bogomol’nyi equations. We show that the Bogomol’nyi equations of this type do not admit the Prasad-Sommerfield limit in its spectrum. As a resolution, the vacuum energy must be lifted up by adding some constant to the potential. Some possible solutions whose energy equal to the vacuum are discussed briefly. The on-shell method also reveals a new (C0 ≠ 0)-type Bogomol’nyi equations. This non-zero C0 is related to a non-trivial function fC0 defined as a difference between energy density of the scalar potential term and of the gauge kinetic term. It turns out that these Bogomol’nyi equations correspond to vortices with locally non-zero pressures, while their average pressure P remain zero globally by the finite energy constraint. |
| first_indexed | 2024-03-06T05:45:14Z |
| format | Article |
| id | um.eprints-18369 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T05:45:14Z |
| publishDate | 2016 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | um.eprints-183692020-06-22T03:15:42Z http://eprints.um.edu.my/18369/ More on bogomol’nyi equations of three-dimensional generalized maxwell-higgs model using on-shell method Atmaja, A.N. Ramadhan, H.S. da Hora, E. Q Science (General) QC Physics We use a recent on-shell method, developed in [1], to construct Bogomol’nyi equations of the three-dimensional generalized Maxwell-Higgs model [2]. The resulting Bogomol’nyi equations are parametrized by a constant C0 and they can be classified into two types determined by the value of C0 = 0 and C0 ≠ 0. We identify that the Bogomol’nyi equations obtained by Bazeia et al. [2] are of the (C0 = 0)-type Bogomol’nyi equations. We show that the Bogomol’nyi equations of this type do not admit the Prasad-Sommerfield limit in its spectrum. As a resolution, the vacuum energy must be lifted up by adding some constant to the potential. Some possible solutions whose energy equal to the vacuum are discussed briefly. The on-shell method also reveals a new (C0 ≠ 0)-type Bogomol’nyi equations. This non-zero C0 is related to a non-trivial function fC0 defined as a difference between energy density of the scalar potential term and of the gauge kinetic term. It turns out that these Bogomol’nyi equations correspond to vortices with locally non-zero pressures, while their average pressure P remain zero globally by the finite energy constraint. Springer Verlag 2016 Article PeerReviewed Atmaja, A.N. and Ramadhan, H.S. and da Hora, E. (2016) More on bogomol’nyi equations of three-dimensional generalized maxwell-higgs model using on-shell method. Journal of High Energy Physics, 2016 (2). p. 117. ISSN 1126-6708, DOI https://doi.org/10.1007/JHEP02(2016)117 <https://doi.org/10.1007/JHEP02(2016)117>. https://doi.org/10.1007/JHEP02(2016)117 doi:10.1007/JHEP02(2016)117 |
| spellingShingle | Q Science (General) QC Physics Atmaja, A.N. Ramadhan, H.S. da Hora, E. More on bogomol’nyi equations of three-dimensional generalized maxwell-higgs model using on-shell method |
| title | More on bogomol’nyi equations of three-dimensional generalized maxwell-higgs model using on-shell method |
| title_full | More on bogomol’nyi equations of three-dimensional generalized maxwell-higgs model using on-shell method |
| title_fullStr | More on bogomol’nyi equations of three-dimensional generalized maxwell-higgs model using on-shell method |
| title_full_unstemmed | More on bogomol’nyi equations of three-dimensional generalized maxwell-higgs model using on-shell method |
| title_short | More on bogomol’nyi equations of three-dimensional generalized maxwell-higgs model using on-shell method |
| title_sort | more on bogomol nyi equations of three dimensional generalized maxwell higgs model using on shell method |
| topic | Q Science (General) QC Physics |
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