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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2605.17124 |
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| _version_ | 1866918507682201600 |
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| author | Boasso, A. Fosco, C. D. Guntsche, B. C. Mazzitelli, F. D. |
| author_facet | Boasso, A. Fosco, C. D. Guntsche, B. C. Mazzitelli, F. D. |
| contents | We study the nonlocal effective action of a massless scalar field defined on a flat manifold with a curved boundary. Using a heat-kernel approach, we derive a covariant expansion of the nonlocal contribution to quadratic order in the extrinsic curvature tensor. Our construction provides a geometric framework that both reproduces earlier results obtained for Monge-patch embeddings and extends them to more general surfaces that need not admit a global Monge-patch description. The expansion is valid in the regime where gradients of the extrinsic curvature dominate over nonlinear curvature effects. As an application, we compute the particle-creation rate for an oscillating deformed ring in $2+1$ dimensions and an oscillating deformed sphere in $3+1$ dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_17124 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Covariant extrinsic curvature expansion of the nonlocal effective action for a massless scalar field on a manifold with boundary Boasso, A. Fosco, C. D. Guntsche, B. C. Mazzitelli, F. D. High Energy Physics - Theory Quantum Physics We study the nonlocal effective action of a massless scalar field defined on a flat manifold with a curved boundary. Using a heat-kernel approach, we derive a covariant expansion of the nonlocal contribution to quadratic order in the extrinsic curvature tensor. Our construction provides a geometric framework that both reproduces earlier results obtained for Monge-patch embeddings and extends them to more general surfaces that need not admit a global Monge-patch description. The expansion is valid in the regime where gradients of the extrinsic curvature dominate over nonlinear curvature effects. As an application, we compute the particle-creation rate for an oscillating deformed ring in $2+1$ dimensions and an oscillating deformed sphere in $3+1$ dimensions. |
| title | Covariant extrinsic curvature expansion of the nonlocal effective action for a massless scalar field on a manifold with boundary |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2605.17124 |