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This paper advances the theoretical understanding of full eigenstate thermalization within continuum quantum field theory by establishing directional large-frequency bounds via thermal analyticity. The study connects these bounds to gravitational Regge contributions, offering new insights into how quantum systems scramble information and approach thermal equilibrium in a multifrequency structure. For researchers in quantum foundations and high-energy physics, this work clarifies the scaling limits that unify lattice system behaviors with continuum field theory predictions.
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Full Eigenstate Thermalization in Quantum Field Theory and Gravitational Scrambling

arXiv1 min read

arXiv:2609.17663v1 Announce Type: cross Abstract: Using thermal analyticity, we derive directional large-frequency bounds on the smooth functions entering full eigenstate thermalization in continuum quantum field theory. The strongest directions reproduce the scales previously identified for lattice systems, while the complete analyticity domain reveals an asymmetric multifrequency structure. Thermal conformal correlators saturate the second- and third-order bounds, and the leading gravitational Regge contribution saturates the strongest fourth-order direction.

Abstract:Using thermal analyticity, we derive directional large-frequency bounds on the smooth functions entering full eigenstate thermalization in continuum quantum field theory. The strongest directions reproduce the scales previously identified for lattice systems, while the complete analyticity domain reveals an asymmetric multifrequency structure. Thermal conformal correlators saturate the second- and third-order bounds, and the leading gravitational Regge contribution saturates the strongest fourth-order direction.

High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)

arXiv:2609.17663 [hep-th]

(or arXiv:2609.17663v1 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2609.17663 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 165 words

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