标题： Σ 模型能否描述有限温度的手征相变？ 显示英文标题

标题： Can Sigma Models Describe Finite Temperature Chiral Transitions?

摘要： 大型-N 展开和计算机模拟表明，三维 Gross-Neveu 模型中有限温度手征对称性恢复转变的普适性类属于平均场理论。这是一个反例，反驳了标准的“sigma 模型”场景，该场景预测了二维 Ising 模型的普适性类。我们将标准场景（维度约化和普适性）的失效归因于模型中缺乏规范标量场。我们指出，我们的结果可能对具有动力学对称性破缺的理论（如量子色动力学）具有普遍意义。 显示英文摘要

摘要： Large-N expansions and computer simulations indicate that the universality class of the finite temperature chiral symmetry restoration transition in the 3D Gross-Neveu model is mean field theory. This is a counterexample to the standard 'sigma model' scenario which predicts the 2D Ising model universality class. We trace the breakdown of the standard scenario (dimensional reduction and universality) to the absence of canonical scalar fields in the model. We point out that our results could be generic for theories with dynamical symmetry breaking, such as Quantum Chromodynamics.