Copositivity for a class of fourth order symmetric tensors given by scalar dark matter
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866910308225777664 |
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| author | Song, Yisheng Li, Xudong |
| author_facet | Song, Yisheng Li, Xudong |
| contents | The mathematical model of multiple microscopic particles potentials corresponds to a fourth order symmetric tensor with a particular structure in particle physics. In this paper, we mainly dedicate to the study of copositivity for a class of tensors defined by the scalar dark matter with the standard model Higgs and an inert doublet and a complex singlet. With the help of its structure, we obtain the necessary and sufficient conditions, which attains the analytic conditions required by the physical problems. At the same time, this analytic expression provides how to determine a unique solution of the corresponding tensor complementarity problem with a parameter. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2105_07124 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Copositivity for a class of fourth order symmetric tensors given by scalar dark matter Song, Yisheng Li, Xudong Mathematical Physics 90C23 The mathematical model of multiple microscopic particles potentials corresponds to a fourth order symmetric tensor with a particular structure in particle physics. In this paper, we mainly dedicate to the study of copositivity for a class of tensors defined by the scalar dark matter with the standard model Higgs and an inert doublet and a complex singlet. With the help of its structure, we obtain the necessary and sufficient conditions, which attains the analytic conditions required by the physical problems. At the same time, this analytic expression provides how to determine a unique solution of the corresponding tensor complementarity problem with a parameter. |
| title | Copositivity for a class of fourth order symmetric tensors given by scalar dark matter |
| topic | Mathematical Physics 90C23 |
| url | https://arxiv.org/abs/2105.07124 |