Vacuum energy of scalar fields on spherical shells with general matching conditions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910337330053120 |
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| author | Fucci, Guglielmo Sancho, César Romaniega |
| author_facet | Fucci, Guglielmo Sancho, César Romaniega |
| contents | In this work we analyze the spectral zeta function for massless scalar fields propagating in a $D$-dimensional flat space under the influence of a shell potential. The shell potential is defined in terms of the two-interval self-adjoint extensions of the Hamiltonian describing the dynamics of the scalar field. After performing the necessary analytic continuation, we utilize the spectral zeta function of the system to compute the vacuum energy of the field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_16756 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Vacuum energy of scalar fields on spherical shells with general matching conditions Fucci, Guglielmo Sancho, César Romaniega High Energy Physics - Theory Mathematical Physics In this work we analyze the spectral zeta function for massless scalar fields propagating in a $D$-dimensional flat space under the influence of a shell potential. The shell potential is defined in terms of the two-interval self-adjoint extensions of the Hamiltonian describing the dynamics of the scalar field. After performing the necessary analytic continuation, we utilize the spectral zeta function of the system to compute the vacuum energy of the field. |
| title | Vacuum energy of scalar fields on spherical shells with general matching conditions |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2310.16756 |