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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| Accès en ligne: | https://arxiv.org/abs/2511.04742 |
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| _version_ | 1866912913314283520 |
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| author | Abate, Nicolás Casini, Horacio Huerta, Marina Martinek, Leandro |
| author_facet | Abate, Nicolás Casini, Horacio Huerta, Marina Martinek, Leandro |
| contents | We compute, for any Rényi index $n$, the exact difference between the mutual Rényi informations of a pair of free massless scalars and that of a Maxwell field in $d=4$ dimensions. Using the standard dimensional reduction method in polar coordinates, the problem is mapped to that of a single scalar field in $d=2$ with Dirichlet boundary conditions, which in turn can be conveniently related to the algebra of a chiral current on the full line. This latter identification, which maps algebras on an interval to two-interval algebras, yields exact results that clarify the structure of the long-distance OPE perturbative expansion of the mutual information. We find that this series has a finite radius of convergence only for integer $n>1$, while it becomes only asymptotical for $n=1$ and general non-integer values of $n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04742 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact Mutual Information Difference: Scalar vs. Maxwell Fields Abate, Nicolás Casini, Horacio Huerta, Marina Martinek, Leandro High Energy Physics - Theory We compute, for any Rényi index $n$, the exact difference between the mutual Rényi informations of a pair of free massless scalars and that of a Maxwell field in $d=4$ dimensions. Using the standard dimensional reduction method in polar coordinates, the problem is mapped to that of a single scalar field in $d=2$ with Dirichlet boundary conditions, which in turn can be conveniently related to the algebra of a chiral current on the full line. This latter identification, which maps algebras on an interval to two-interval algebras, yields exact results that clarify the structure of the long-distance OPE perturbative expansion of the mutual information. We find that this series has a finite radius of convergence only for integer $n>1$, while it becomes only asymptotical for $n=1$ and general non-integer values of $n$. |
| title | Exact Mutual Information Difference: Scalar vs. Maxwell Fields |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.04742 |