Emergent gauge theory and gravity in condensed matter systems

凝聚态体系中的涌现规范理论和引力

• 批准号: 341439-2007
• 负责人: Lee, SungSik
• 金额: $ 2.62万
• 依托单位: McMaster University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2011
• 资助国家: 加拿大
• 起止时间: 2011-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=482099
• 关键词: Emergent; gauge; theory; gravity; condensed

It is difficult to understand correlated many-body systems from a first principle calculation due to the huge number of coupled degrees of freedom. However, despite the complexity of the system at the microscopic length scale, the long distance properties can be described by a relatively simple effective theory. Effective theory can serve as a characterization of the many-body state in the sense that different phases are described by different effective theories. Until now, several different phases have been realized in condensed matter systems. They include the Landau Fermi liquid state, the symmetry broken state and the topologically ordered phase of the fractional quantum Hall systems. On the other hand we know that the vacuum of our universe is described by richer effective theories which include gauge theory, general relativity and (possibly) supersymmetry. Therefore one can ask whether these effective theories may also emerge in some condensed matter systems. The objective of this research is to search for new states of condensed matter systems whose long distance properties are characterized by gauge theory, general relativity or supersymmetry.

由于关联多体系统的耦合自由度很大，很难从第一性原理计算中理解。然而，尽管在微观尺度上的系统的复杂性，长距离的性质可以通过一个相对简单的有效的理论来描述。有效理论可以作为多体状态的表征，因为不同的相由不同的有效理论描述。到目前为止，在凝聚态系统中已经实现了几个不同的阶段。它们包括分数量子霍尔系统的朗道费米液态、对称破缺态和拓扑有序相。另一方面，我们知道我们宇宙的真空是由更丰富的有效理论描述的，包括规范理论，广义相对论和（可能的）超对称性。因此，人们可以问，这些有效的理论是否也可能出现在某些凝聚态系统中。本研究的目的是寻找新的凝聚态系统，其长距离性质的特点是规范理论，广义相对论或超对称性。