PreprintCC BY 4.0arXiv
Low-Temperature Large Deviations for the Two-Dimensional Wick-Ordered Cubic Wave Equation
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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BibTeX
@misc{heydecker2026lowtemperature,
title = {{Low-Temperature Large Deviations for the Two-Dimensional Wick-Ordered Cubic Wave Equation}},
author = {Daniel Heydecker},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.08829},
eprint = {2609.08829},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.08829},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Low-Temperature Large Deviations for the Two-Dimensional Wick-Ordered Cubic Wave Equation
AU - Daniel Heydecker
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.08829
UR - https://arxiv.org/abs/2609.08829
AB - 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.
ER -