Quantum chaos and pole skipping in two-dimensional conformal perturbation theory
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915892957282304 |
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| author | Asplund, Curtis T. Fischetti, Sebastian Miller, Alexandra Ramirez, David M. |
| author_facet | Asplund, Curtis T. Fischetti, Sebastian Miller, Alexandra Ramirez, David M. |
| contents | We analyze pole skipping of stress tensor two-point functions in two-dimensional quantum field theories perturbed away from conformality by a relevant deformation. The retarded two-point Green's function can be formally computed in conformal perturbation theory, though it results in singular expressions. We propose a natural interpretation of these expressions and compute the resulting Green's function to leading nontrivial order in the deformation. As a check of our results, we compare the Lyapunov exponents and butterfly velocities we find from our computed skipped poles to those obtained from both a leading-order conformal field theory analysis using Ward identities, as well as to a holographic gravitational dual perturbed by a massive scalar field; we find precise agreement. We comment on extensions to sub-leading order, where agreement with holographic expectations would no longer be expected. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_18540 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum chaos and pole skipping in two-dimensional conformal perturbation theory Asplund, Curtis T. Fischetti, Sebastian Miller, Alexandra Ramirez, David M. High Energy Physics - Theory Statistical Mechanics We analyze pole skipping of stress tensor two-point functions in two-dimensional quantum field theories perturbed away from conformality by a relevant deformation. The retarded two-point Green's function can be formally computed in conformal perturbation theory, though it results in singular expressions. We propose a natural interpretation of these expressions and compute the resulting Green's function to leading nontrivial order in the deformation. As a check of our results, we compare the Lyapunov exponents and butterfly velocities we find from our computed skipped poles to those obtained from both a leading-order conformal field theory analysis using Ward identities, as well as to a holographic gravitational dual perturbed by a massive scalar field; we find precise agreement. We comment on extensions to sub-leading order, where agreement with holographic expectations would no longer be expected. |
| title | Quantum chaos and pole skipping in two-dimensional conformal perturbation theory |
| topic | High Energy Physics - Theory Statistical Mechanics |
| url | https://arxiv.org/abs/2509.18540 |