Quantum information and the C-theorem in de Sitter
Information-theoretic methods have led to significant advances in nonperturbative quantum field theory in flat space. In this work, we show that these ideas can be generalized to field theories in a fixed de Sitter space. Focusing on 1+1-dimensional field theories, we derive a boosted strong subaddi...
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| Format: | Article |
| Language: | English |
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2025-01-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.18.1.029 |
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| _version_ | 1832591469224919040 |
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| author | Nicolás Abate, Gonzalo Torroba |
| author_facet | Nicolás Abate, Gonzalo Torroba |
| author_sort | Nicolás Abate, Gonzalo Torroba |
| collection | DOAJ |
| description | Information-theoretic methods have led to significant advances in nonperturbative quantum field theory in flat space. In this work, we show that these ideas can be generalized to field theories in a fixed de Sitter space. Focusing on 1+1-dimensional field theories, we derive a boosted strong subadditivity inequality in de Sitter, and show that it implies a C-theorem for renormalization group flows. Additionally, using the relative entropy, we establish a Lorentzian bound on the entanglement and thermal entropies for a field theory inside the static patch. Finally, we discuss possible connections with recent developments using unitarity methods. |
| format | Article |
| id | doaj-art-b2bde598944a4c21bc83c4cf20369eef |
| institution | Kabale University |
| issn | 2542-4653 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj-art-b2bde598944a4c21bc83c4cf20369eef2025-01-22T11:56:41ZengSciPostSciPost Physics2542-46532025-01-0118102910.21468/SciPostPhys.18.1.029Quantum information and the C-theorem in de SitterNicolás Abate, Gonzalo TorrobaInformation-theoretic methods have led to significant advances in nonperturbative quantum field theory in flat space. In this work, we show that these ideas can be generalized to field theories in a fixed de Sitter space. Focusing on 1+1-dimensional field theories, we derive a boosted strong subadditivity inequality in de Sitter, and show that it implies a C-theorem for renormalization group flows. Additionally, using the relative entropy, we establish a Lorentzian bound on the entanglement and thermal entropies for a field theory inside the static patch. Finally, we discuss possible connections with recent developments using unitarity methods.https://scipost.org/SciPostPhys.18.1.029 |
| spellingShingle | Nicolás Abate, Gonzalo Torroba Quantum information and the C-theorem in de Sitter SciPost Physics |
| title | Quantum information and the C-theorem in de Sitter |
| title_full | Quantum information and the C-theorem in de Sitter |
| title_fullStr | Quantum information and the C-theorem in de Sitter |
| title_full_unstemmed | Quantum information and the C-theorem in de Sitter |
| title_short | Quantum information and the C-theorem in de Sitter |
| title_sort | quantum information and the c theorem in de sitter |
| url | https://scipost.org/SciPostPhys.18.1.029 |
| work_keys_str_mv | AT nicolasabategonzalotorroba quantuminformationandthectheoremindesitter |