标题： 温度耐受序在2+1维中 显示英文标题

标题： Temperature-Resistant Order in 2+1 Dimensions

摘要： 高温通常被认为会增加无序性。 在这里，我们研究了这一观点在2+1维量子场论中的情况。 为此，我们探索了一类新的可处理模型，这些模型由接近平均场的标量与临界标量相互作用组成。 我们在这一类中确定了紫外完备、局部、幺正的模型，并表明在相图的某些区域，对称性破缺$\mathbb{Z}_2 \to \emptyset$在任何温度下都会发生。 这种现象以前在具有分数维度的模型中，或在严格平面极限中，或在非局部相互作用的情况下被观察到，现在则在一个具有有限场数的局部、幺正的2+1维模型中被展示出来。 显示英文摘要

摘要： High temperatures are typically thought to increase disorder. Here we examine this idea in Quantum Field Theory in 2+1 dimensions. For this sake we explore a novel class of tractable models, consisting of nearly-mean-field scalars interacting with critical scalars. We identify UV-complete, local, unitary models in this class and show that symmetry breaking $\mathbb{Z}_2 \to \emptyset$ occurs at any temperature in some regions of the phase diagram. This phenomenon, previously observed in models with fractional dimensions, or in the strict planar limits, or with non-local interactions, is now exhibited in a local, unitary 2+1 dimensional model with a finite number of fields.