Stress-energy tensor of quantized scalar fields in a zero-tidal wormhole
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912934551093248 |
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| author | Jiang, Shun Jiang, Jie |
| author_facet | Jiang, Shun Jiang, Jie |
| contents | To create a static traversable wormhole, exotic matter that meets the Morris-Thorne conditions is required. It is well known that the expectation value of the vacuum stress-energy tensor can violate the null energy condition, and thus has long been considered the best candidate for exotic matter. In this paper, we investigate whether the renormalized stress-energy tensor of a non-minimally coupled massive scalar field in a zero-tidal wormhole can satisfy the Morris-Thorne conditions. Within the Hadamard renormalization framework, we calculate the renormalized stress-energy tensor using the pragmatic mode-sum regularization method recently established by Levi and Ori. By varying the scalar field mass $m_0$ and coupling constant $ξ$, we find that there are three disconnected regions in this two-dimensional parameter space that satisfy the Morris-Thorne conditions. We identify two intervals in the scalar field mass $m_0$, within which the Morris-Thorne conditions cannot be satisfied irrespective of the value of the coupling constant $ξ$. This establishes two mass exclusion regions that constitute a no-go regime for the construction of traversable wormholes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01003 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stress-energy tensor of quantized scalar fields in a zero-tidal wormhole Jiang, Shun Jiang, Jie General Relativity and Quantum Cosmology To create a static traversable wormhole, exotic matter that meets the Morris-Thorne conditions is required. It is well known that the expectation value of the vacuum stress-energy tensor can violate the null energy condition, and thus has long been considered the best candidate for exotic matter. In this paper, we investigate whether the renormalized stress-energy tensor of a non-minimally coupled massive scalar field in a zero-tidal wormhole can satisfy the Morris-Thorne conditions. Within the Hadamard renormalization framework, we calculate the renormalized stress-energy tensor using the pragmatic mode-sum regularization method recently established by Levi and Ori. By varying the scalar field mass $m_0$ and coupling constant $ξ$, we find that there are three disconnected regions in this two-dimensional parameter space that satisfy the Morris-Thorne conditions. We identify two intervals in the scalar field mass $m_0$, within which the Morris-Thorne conditions cannot be satisfied irrespective of the value of the coupling constant $ξ$. This establishes two mass exclusion regions that constitute a no-go regime for the construction of traversable wormholes. |
| title | Stress-energy tensor of quantized scalar fields in a zero-tidal wormhole |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2603.01003 |