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arXiv · 2509.18540

Quantum chaos and pole skipping in two-dimensional conformal perturbation theory

Curtis T. Asplund·Sebastian Fischetti·Alexandra Miller·David M. Ramirez
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Abstract

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.

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Curtis T. Asplund, Sebastian Fischetti, Alexandra Miller, David M. Ramirez. 2025-09-23. Quantum chaos and pole skipping in two-dimensional conformal perturbation theory. https://arxiv.org/abs/2509.18540

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