Boundary Conditions and Dirac Fields on AdS$_n$
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908650484793344 |
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| author | Dappiaggi, Claudio Parpinel, Andrea |
| author_facet | Dappiaggi, Claudio Parpinel, Andrea |
| contents | We study Dirac fields on AdS$_n$ in both global and Poincaré charts and, for each mass window, we classify the boundary conditions at conformal infinity that ensure the existence of advanced and retarded propagators. We distinguish the well-known MIT--bag class from a generalized family, thereby extending to arbitrary dimensions the procedure initiated by Blanco. As in the scalar case, we show that suitable generalized boundary data can support bound states. In four dimensions we work out two explicit examples: (i) the MIT case, for which we construct the advanced/retarded propagators and the two-point function of the associated ground state and (ii) a representative generalized boundary condition, for which we construct the propagators and exhibit a normalizable bound state. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_10225 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundary Conditions and Dirac Fields on AdS$_n$ Dappiaggi, Claudio Parpinel, Andrea High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics We study Dirac fields on AdS$_n$ in both global and Poincaré charts and, for each mass window, we classify the boundary conditions at conformal infinity that ensure the existence of advanced and retarded propagators. We distinguish the well-known MIT--bag class from a generalized family, thereby extending to arbitrary dimensions the procedure initiated by Blanco. As in the scalar case, we show that suitable generalized boundary data can support bound states. In four dimensions we work out two explicit examples: (i) the MIT case, for which we construct the advanced/retarded propagators and the two-point function of the associated ground state and (ii) a representative generalized boundary condition, for which we construct the propagators and exhibit a normalizable bound state. |
| title | Boundary Conditions and Dirac Fields on AdS$_n$ |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2511.10225 |