AI 中文总结
研究三维韦格纳规范理论中自纠错记忆对哈密顿量微扰的稳定性，采用“规范平均”方法，证明其涨落稳定，对微扰的鲁棒性随温度升高，为相关研究提供新视角。
AI 中文摘要
我们证明了三维韦格纳规范理论中的自纠错记忆对于哈密顿量的任意足够小的微扰是稳定的。我们的证明依赖于一种我们称为“规范平均”的新方法，该方法给出了明确破缺的规范对称性如何通过涨落有效恢复的条件。这些条件表明自纠错记忆相是涨落稳定的，其对微扰的鲁棒性随温度升高而增加，直至某个\(T_c > 零\)。
英文摘要
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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