QFT on Fuzzy AdS Spaces: Classical Limit and Boundary Correlation Functions
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913989936545792 |
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| author | Brkić, Bojana Burić, Ilija Burić, Maja Đorđević, Dušan Latas, Duško |
| author_facet | Brkić, Bojana Burić, Ilija Burić, Maja Đorđević, Dušan Latas, Duško |
| contents | Quantum field theory on two- and three-dimensional fuzzy anti-de Sitter spaces is introduced and studied. We find a complete set of solutions to the fuzzy Klein-Gordon equation and identify the commutative limit in which they reduce to classical scalar field modes. After introducing the noncommutative boundary via semi-classical states, the fuzzy modes are used to obtain the boundary two-point function. In both two and three dimensions, this gives an interesting two-parameter deformation of the conformal two-point function. For the fuzzy AdS$_2$, the two-point function is given explicitly in terms of the Appell function $F_1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17595 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | QFT on Fuzzy AdS Spaces: Classical Limit and Boundary Correlation Functions Brkić, Bojana Burić, Ilija Burić, Maja Đorđević, Dušan Latas, Duško High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum field theory on two- and three-dimensional fuzzy anti-de Sitter spaces is introduced and studied. We find a complete set of solutions to the fuzzy Klein-Gordon equation and identify the commutative limit in which they reduce to classical scalar field modes. After introducing the noncommutative boundary via semi-classical states, the fuzzy modes are used to obtain the boundary two-point function. In both two and three dimensions, this gives an interesting two-parameter deformation of the conformal two-point function. For the fuzzy AdS$_2$, the two-point function is given explicitly in terms of the Appell function $F_1$. |
| title | QFT on Fuzzy AdS Spaces: Classical Limit and Boundary Correlation Functions |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2502.17595 |