论文标题
凝结物理学中的量子场理论异常
Quantum Field Theory Anomalies in Condensed Matter Physics
论文作者
论文摘要
我们提供了量子异常的教学介绍，如何使用各种方法计算它们，以及为什么它们在凝结物质理论中很重要。我们讨论轴向，手性和引力异常以及全球异常。我们用量子厅液体，费米液体，Weyl半金属，拓扑绝缘子和拓扑超导体等示例来说明理论。所需的背景是量子场理论的基本知识，包括费米和仪表场，以及对路径积分和功能方法的熟悉。对物质拓扑阶段的一些知识是有帮助的，但没有必要。
We give a pedagogical introduction to quantum anomalies, how they are calculated using various methods, and why they are important in condensed matter theory. We discuss axial, chiral, and gravitational anomalies as well as global anomalies. We illustrate the theory with examples such as quantum Hall liquids, Fermi liquids, Weyl semi-metals, topological insulators and topological superconductors. The required background is basic knowledge of quantum field theory, including fermions and gauge fields, and some familiarity with path integral and functional methods. Some knowledge of topological phases of matter is helpful, but not necessary.
