The AdS3 propagator and the fate of locality
Abstract We recently used Virasoro symmetry considerations to propose an exact formula for a bulk proto-field ϕ in AdS3. In this paper we study the propagator 〈ϕϕ〉. We show that many techniques from the study of conformal blocks can be generalized to compute it, including the semiclassical monodromy...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2018)075 |
| _version_ | 1819059912776351744 |
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| author | Hongbin Chen A. Liam Fitzpatrick Jared Kaplan Daliang Li |
| author_facet | Hongbin Chen A. Liam Fitzpatrick Jared Kaplan Daliang Li |
| author_sort | Hongbin Chen |
| collection | DOAJ |
| description | Abstract We recently used Virasoro symmetry considerations to propose an exact formula for a bulk proto-field ϕ in AdS3. In this paper we study the propagator 〈ϕϕ〉. We show that many techniques from the study of conformal blocks can be generalized to compute it, including the semiclassical monodromy method and both forms of the Zamolodchikov recursion relations. When the results from recursion are expanded at large central charge, they match gravitational perturbation theory for a free scalar field coupled to gravity in our chosen gauge. We find that although the propagator is finite and well-defined at long distances, its perturbative expansion in GN=32c $$ {G}_N=\frac{3}{2c} $$ exhibits UV/IR mixing effects. If we nevertheless interpret 〈ϕϕ〉 as a probe of bulk locality, then when GNmϕ≪1 $$ {G}_{N{m}_{\phi }}\ll 1 $$ locality breaks down at the new short-distance scale σ∗∼GNRAdS34 $$ {\sigma}_{\ast}\sim \sqrt[4]{G_N{R}_{\mathrm{AdS}}^3} $$. For ϕ with very large bulk mass, or at small central charge, bulk locality fails at the AdS length scale. In all cases, locality ‘breakdown’ manifests as singularities or branch cuts at spacelike separation arising from non-perturbative quantum gravitational effects. |
| first_indexed | 2024-12-21T14:18:38Z |
| format | Article |
| id | doaj.art-01f16d75e1cc491180f84b4976400bb8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T14:18:38Z |
| publishDate | 2018-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-01f16d75e1cc491180f84b4976400bb82022-12-21T19:00:50ZengSpringerOpenJournal of High Energy Physics1029-84792018-04-012018415210.1007/JHEP04(2018)075The AdS3 propagator and the fate of localityHongbin Chen0A. Liam Fitzpatrick1Jared Kaplan2Daliang Li3Department of Physics and Astronomy, Johns Hopkins UniversityDepartment of Physics, Boston UniversityDepartment of Physics and Astronomy, Johns Hopkins UniversityDepartment of Physics and Astronomy, Johns Hopkins UniversityAbstract We recently used Virasoro symmetry considerations to propose an exact formula for a bulk proto-field ϕ in AdS3. In this paper we study the propagator 〈ϕϕ〉. We show that many techniques from the study of conformal blocks can be generalized to compute it, including the semiclassical monodromy method and both forms of the Zamolodchikov recursion relations. When the results from recursion are expanded at large central charge, they match gravitational perturbation theory for a free scalar field coupled to gravity in our chosen gauge. We find that although the propagator is finite and well-defined at long distances, its perturbative expansion in GN=32c $$ {G}_N=\frac{3}{2c} $$ exhibits UV/IR mixing effects. If we nevertheless interpret 〈ϕϕ〉 as a probe of bulk locality, then when GNmϕ≪1 $$ {G}_{N{m}_{\phi }}\ll 1 $$ locality breaks down at the new short-distance scale σ∗∼GNRAdS34 $$ {\sigma}_{\ast}\sim \sqrt[4]{G_N{R}_{\mathrm{AdS}}^3} $$. For ϕ with very large bulk mass, or at small central charge, bulk locality fails at the AdS length scale. In all cases, locality ‘breakdown’ manifests as singularities or branch cuts at spacelike separation arising from non-perturbative quantum gravitational effects.http://link.springer.com/article/10.1007/JHEP04(2018)075AdS-CFT CorrespondenceConformal and W SymmetryConformal Field TheoryModels of Quantum Gravity |
| spellingShingle | Hongbin Chen A. Liam Fitzpatrick Jared Kaplan Daliang Li The AdS3 propagator and the fate of locality Journal of High Energy Physics AdS-CFT Correspondence Conformal and W Symmetry Conformal Field Theory Models of Quantum Gravity |
| title | The AdS3 propagator and the fate of locality |
| title_full | The AdS3 propagator and the fate of locality |
| title_fullStr | The AdS3 propagator and the fate of locality |
| title_full_unstemmed | The AdS3 propagator and the fate of locality |
| title_short | The AdS3 propagator and the fate of locality |
| title_sort | ads3 propagator and the fate of locality |
| topic | AdS-CFT Correspondence Conformal and W Symmetry Conformal Field Theory Models of Quantum Gravity |
| url | http://link.springer.com/article/10.1007/JHEP04(2018)075 |
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