Energy from Ellwood invariant for solutions involving $X^0$ variables
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866929376474431488 |
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| author | Ando, Yuji Suda, Tomoya |
| author_facet | Ando, Yuji Suda, Tomoya |
| contents | For some classical solutions $Ψ_\mathrm{sol}$ in Witten's bosonic string field theory, it was proven that energy of the solution is proportional to the Ellwood invariant $\mathrm{Tr}(\mathcal{V}Ψ_\mathrm{sol})$ with $\mathcal{V}=c\bar{c}\partial X^0\bar{\partial}X^0$. We examine the relation for solutions involving $X^0$ variables. As a result, we obtain that the relation may not hold for such solutions. Namely, there is a possibility that the energy is not proportional to the Ellwood invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_13789 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Energy from Ellwood invariant for solutions involving $X^0$ variables Ando, Yuji Suda, Tomoya High Energy Physics - Theory For some classical solutions $Ψ_\mathrm{sol}$ in Witten's bosonic string field theory, it was proven that energy of the solution is proportional to the Ellwood invariant $\mathrm{Tr}(\mathcal{V}Ψ_\mathrm{sol})$ with $\mathcal{V}=c\bar{c}\partial X^0\bar{\partial}X^0$. We examine the relation for solutions involving $X^0$ variables. As a result, we obtain that the relation may not hold for such solutions. Namely, there is a possibility that the energy is not proportional to the Ellwood invariant. |
| title | Energy from Ellwood invariant for solutions involving $X^0$ variables |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2303.13789 |