期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 7, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP07(2019)047
关键词
Anomalies in Field and String Theories; Boundary Quantum Field Theory; Conformal Field Theory
资金
- ERC STG grant [639220]
- European Research Council (ERC) [639220] Funding Source: European Research Council (ERC)
We consider the two-point functions of conserved bulk currents and energymomentum tensor in a boundary CFT defined on R_(1,2). Starting from the consistent forms of boundary gauge and gravitational anomalies we derive their respective contributions to the correlation functions in the form of anomalous Ward identities. Using the recently developed momentum space formalism we find an anomalous solution to each of these identities depending on a single undetermined form-factor. We study the solution in two different kinematic limits corresponding to small and large momentum p(n), perpendicular to the boundary. We find that the anomalous term interpolates between a non-local form resembling the standard anomaly-induced term in a two-dimensional CFT at small pn and Chern-Simons contact terms at large pn. Using this we derive some consistency conditions regarding the dependence of these anomalies on the boundary conditions and discuss possible cancellation mechanisms. These ideas are then demonstrated on the explicit example of free, massless three-dimensional fermion. In particular we manage to obtain the respective anomalies via a diagrammatic momentum space computation and expose the well- known relation between bulk parity anomaly and boundary gauge anomalies.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据