标题： 路径积分福崎瓦的途径对具有接触相互作用的复杂二维玻色场以及具有SO(2,1)对称性的其他系统的异常维里定理和状态方程的应用 显示英文标题

标题： Path-integral Fujikawa's approach to anomalous virial theorems and equations of state for complex 2D bosonic fields with contact interactions, and for other systems with SO(2,1) symmetry

摘要： 我们使用Fujikawa的路径积分方法和标度论证，推导出具有接触相互作用的非相对论2D复标量场的异常状态方程。 在这一过程中，我们推导出这类系统的异常维里定理。 所使用的方法很容易推广到其他2D系统，包括费米子系统以及不同空间维度的系统，所有这些系统都具有经典的SO(2,1)薛定谔对称性。 讨论具有更多的形式性质，主要是为了阐明2D多体系统中异常的结构。 这些思想的实用性取决于能够详细计算包含异常的Fujikawa雅可比行列式。 本文末尾讨论了这一问题及其他技术性和概念性问题。 显示英文摘要

摘要： We derive anomalous equations of state for non-relativistic 2D complex bosonic felds with contact interactions, using Fujikawa's path-integral approach to anomalies and scaling arguments. In the process, we derive an anomalous virial theorem for such systems. The methods used are easily generalizable for other 2D systems, including fermionic ones, and of different spatial dimensionality, all of which share a classical SO(2,1) Schrodinger symmetry. The discussion is of a more formal nature and is intended mainly to shed light on the structure of anomalies in 2D many-body systems. The practicality of these ideas rests upon being able to compute in detail the Fujikawa Jacobian that contains the anomaly. This and other technical and conceptual issues are discussed at the end of the paper