RUI: Quantum Field Theories Under External Conditions

人们相信，一个强关联的二维电子系统可以用分数统计的粒子的有效场论来描述，称为任意子。 对具有这种不寻常统计的模型感兴趣的一个重要原因是，任何子可能在高温超导性中发挥基本作用。 尽管近年来任意子超导性一直是人们研究的热点，但在有限温度下任意子对外加磁场的响应仍然存在问题。 本项目将解决这些问题。 他们的解决方案将有助于更好地了解这个系统的基本性质，并在凝聚态物质的相关性。 这个项目的第二部分将致力于规范理论中大磁场的研究。 预计这些研究的结果将与宇宙相变有关，并将有助于解释重离子碰撞中电子正电子峰的形成。

It is believed that a strongly correlated electron system in two dimensions can be described by an effective field theory of particles with fractional statistics called anyons. One important reason for the interest in models with such an unusual statistics is the claim that anyons could play a basic role in high-temperature superconductivity. Although anyon superconductivity has been the subject of intense research in recent years, problems still remain related to the anyon response to an applied magnetic field at finite temperature. This project will address these questions. Their solution will contribute to a better understanding of the fundamental properties of this system and to its relevance in condensed matter. The second part of this project will be dedicated to the investigation of large magnetic fields in gauge theories. It is expected that the outcome of these studies will be relevant for cosmic phase transitions and will contribute to the explanation of the formation of electron positron peaks in heavy-ion collisions.