Boulware Vacuum vs. Regularity: Thoughts on Anomaly-Induced Effective Action
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909584356016128 |
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| author | Numajiri, Kota Okabayashi, Kazumasa Mukohyama, Shinji |
| author_facet | Numajiri, Kota Okabayashi, Kazumasa Mukohyama, Shinji |
| contents | We examine the vacuum state and its corresponding renormalized stress-energy tensor (RSET) in static horizonless regular spacetime in both two and four dimensions. Using the local field formulation of the anomaly-induced effective action, we show that the regularities of the spacetime and the RSET dictate the appropriate vacuum state. Furthermore, through a case study under the horizonless Bardeen-type spacetime, we demonstrate that the preferred vacuum state is not the Boulware vacuum, but a nontrivial one with a different RSET profile. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_12617 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boulware Vacuum vs. Regularity: Thoughts on Anomaly-Induced Effective Action Numajiri, Kota Okabayashi, Kazumasa Mukohyama, Shinji General Relativity and Quantum Cosmology High Energy Physics - Theory We examine the vacuum state and its corresponding renormalized stress-energy tensor (RSET) in static horizonless regular spacetime in both two and four dimensions. Using the local field formulation of the anomaly-induced effective action, we show that the regularities of the spacetime and the RSET dictate the appropriate vacuum state. Furthermore, through a case study under the horizonless Bardeen-type spacetime, we demonstrate that the preferred vacuum state is not the Boulware vacuum, but a nontrivial one with a different RSET profile. |
| title | Boulware Vacuum vs. Regularity: Thoughts on Anomaly-Induced Effective Action |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.12617 |