Perturbatively Stable Self-Correcting Classical Memory from Gauge Averaging

Ryan Thorngren

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arXiv · 2607.20605

Perturbatively Stable Self-Correcting Classical Memory from Gauge Averaging

Ryan Thorngren

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Abstract

We show that the self-correcting memory in 3d Wegner gauge theory is stable to arbitrary small enough perturbations of the Hamiltonian. Our proof relies on a new method we dub ``gauge averaging'', which gives conditions under which explicitly broken gauge symmetries are effectively restored by fluctuations. These conditions show that the self-correcting memory phase is fluctuation stabilized, with its robustness to perturbations increasing with increasing temperature, up to some $T_c > 0$.

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quant-ph cond-mat.stat-mech cond-mat.str-el hep-ph math-ph math.MP

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Ryan Thorngren. 2026-07-22. Perturbatively Stable Self-Correcting Classical Memory from Gauge Averaging. https://arxiv.org/abs/2607.20605

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