Low-Temperature Large Deviations for the Two-Dimensional Wick-Ordered Cubic Wave Equation

Daniel Heydecker

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arXiv · 2609.08829

Low-Temperature Large Deviations for the Two-Dimensional Wick-Ordered Cubic Wave Equation

Daniel Heydecker

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Abstract

We prove a trajectory large deviation principle, in the low-temperature limit, for the two-dimensional Wick-ordered defocusing cubic nonlinear wave equation, with initial data drawn from the invariant Gibbs measure. We further show that asymptotically vanishing high-frequency perturbations of the Gibbs initial data, with the same static rate function, generate a continuum of distinct mass-shifted trajectory rate functions.

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Daniel Heydecker. 2026-09-08. Low-Temperature Large Deviations for the Two-Dimensional Wick-Ordered Cubic Wave Equation. https://arxiv.org/abs/2609.08829

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