论文标题
相过渡到Instanton Crystal
Phase transition into Instanton Crystal
论文作者
论文摘要
我们提出了一种表现出激体晶体相的模型。在此阶段，自由能的最小值对应于具有依赖性时间依赖性顺序参数的配置，形式为交替的激体和抗Antiinstantons。该状态的最终特征是假想时间内的顺序参数的平均值消失。为了在数量上研究模型的广泛参数区域，并证明了Instanton Crystal阶段的存在，我们开发了一个有效的数值方案，适用于提出的模型的确切处理。在一定限制中，还可以通过分析获得证明激体晶体相存在的结果。该模型的数值研究表明，Instanton晶体与状态之间存在相变，具有虚构时间无关的顺序参数。
We propose a class of models exhibiting instanton crystal phase. In this phase, the minimum of the free energy corresponds to a configuration with an imaginary-time-dependent order parameter in a form of a chain of alternating instantons and antiinstantons. The resulting characteristic feature of this state is that the average of the order parameter over the imaginary time vanishes. In order to study the model in a broad region of parameters of the model quantitatively, and prove the existence of the instanton crystal phase, we develop an efficient numerical scheme, suitable for the exact treatment of the proposed models. In a certain limit, results demonstrating the existence of the instanton crystal phase are obtained also analytically. The numerical study of the model shows that there is a phase transition between the instanton crystal and the state with the imaginary-time-independent order parameter.
