Tripartite information at long distances
We compute the leading term of the tripartite information at long distances for three spheres in a CFT. This falls as $r^{-6\Delta}$, where $r$ is the typical distance between the spheres, and $\Delta$, the lowest primary field dimension. The coefficient turns out to be a combination of terms com...
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| Format: | Article |
| Language: | English |
| Published: |
SciPost
2022-05-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.12.5.153 |
| _version_ | 1811307857218371584 |
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| author | César A. Agón, Pablo Bueno, Horacio Casini |
| author_facet | César A. Agón, Pablo Bueno, Horacio Casini |
| author_sort | César A. Agón, Pablo Bueno, Horacio Casini |
| collection | DOAJ |
| description | We compute the leading term of the tripartite information at long distances
for three spheres in a CFT. This falls as $r^{-6\Delta}$, where $r$ is the
typical distance between the spheres, and $\Delta$, the lowest primary field
dimension. The coefficient turns out to be a combination of terms coming from
the two- and three-point functions and depends on the OPE coefficient of the
field. We check the result with three-dimensional free scalars in the lattice
finding excellent agreement. When the lowest-dimensional field is a scalar, we
find that the mutual information can be monogamous only for quite large OPE
coefficients, far away from a perturbative regime. When the lowest-dimensional
primary is a fermion, we argue that the scaling must always be faster than
$r^{-6\Delta_f}$. In particular, lattice calculations suggest a leading scaling
$ r^{-(6\Delta_f+1)}$. For free fermions in three dimensions, we show that
mutual information is also non-monogamous in the long-distance regime. |
| first_indexed | 2024-04-13T09:11:45Z |
| format | Article |
| id | doaj.art-f86513640f234c8398b2de83b8f3d3bb |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-04-13T09:11:45Z |
| publishDate | 2022-05-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-f86513640f234c8398b2de83b8f3d3bb2022-12-22T02:52:52ZengSciPostSciPost Physics2542-46532022-05-0112515310.21468/SciPostPhys.12.5.153Tripartite information at long distancesCésar A. Agón, Pablo Bueno, Horacio CasiniWe compute the leading term of the tripartite information at long distances for three spheres in a CFT. This falls as $r^{-6\Delta}$, where $r$ is the typical distance between the spheres, and $\Delta$, the lowest primary field dimension. The coefficient turns out to be a combination of terms coming from the two- and three-point functions and depends on the OPE coefficient of the field. We check the result with three-dimensional free scalars in the lattice finding excellent agreement. When the lowest-dimensional field is a scalar, we find that the mutual information can be monogamous only for quite large OPE coefficients, far away from a perturbative regime. When the lowest-dimensional primary is a fermion, we argue that the scaling must always be faster than $r^{-6\Delta_f}$. In particular, lattice calculations suggest a leading scaling $ r^{-(6\Delta_f+1)}$. For free fermions in three dimensions, we show that mutual information is also non-monogamous in the long-distance regime.https://scipost.org/SciPostPhys.12.5.153 |
| spellingShingle | César A. Agón, Pablo Bueno, Horacio Casini Tripartite information at long distances SciPost Physics |
| title | Tripartite information at long distances |
| title_full | Tripartite information at long distances |
| title_fullStr | Tripartite information at long distances |
| title_full_unstemmed | Tripartite information at long distances |
| title_short | Tripartite information at long distances |
| title_sort | tripartite information at long distances |
| url | https://scipost.org/SciPostPhys.12.5.153 |
| work_keys_str_mv | AT cesaraagonpablobuenohoraciocasini tripartiteinformationatlongdistances |