Non-perturbative corrections to the Casimir energy for a scalar field theory with non-linear boundary conditions
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911311325036544 |
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| author | Canfora, Fabrizio Dudal, David Oosthuyse, Thomas Pais, Pablo Rosa, Luigi Stouten, Sebbe |
| author_facet | Canfora, Fabrizio Dudal, David Oosthuyse, Thomas Pais, Pablo Rosa, Luigi Stouten, Sebbe |
| contents | We consider the case of a free real massive bulk scalar in D=4 dimensions, and embed two parallel plates as interfaces on which we impose non-linear boundary conditions, either Dirichlet- or Neumann-like, parameterized by a new coupling constant g. This mimics a non-Abelian gauge theory supplemented with boundary conditions on surfaces embedded in the bulk. We present the first evidence for a non-perturbative 1/g^2 boundary mass generation and its ensuing correction to the standard Casimir energy. This becomes possible by incorporating dynamical corrections to the effective boundary fields, which are used to build in the boundary conditions directly at the action level. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09620 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-perturbative corrections to the Casimir energy for a scalar field theory with non-linear boundary conditions Canfora, Fabrizio Dudal, David Oosthuyse, Thomas Pais, Pablo Rosa, Luigi Stouten, Sebbe High Energy Physics - Theory High Energy Physics - Lattice We consider the case of a free real massive bulk scalar in D=4 dimensions, and embed two parallel plates as interfaces on which we impose non-linear boundary conditions, either Dirichlet- or Neumann-like, parameterized by a new coupling constant g. This mimics a non-Abelian gauge theory supplemented with boundary conditions on surfaces embedded in the bulk. We present the first evidence for a non-perturbative 1/g^2 boundary mass generation and its ensuing correction to the standard Casimir energy. This becomes possible by incorporating dynamical corrections to the effective boundary fields, which are used to build in the boundary conditions directly at the action level. |
| title | Non-perturbative corrections to the Casimir energy for a scalar field theory with non-linear boundary conditions |
| topic | High Energy Physics - Theory High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2512.09620 |