Nonrelativistic trace and diffeomorphism anomalies in particle number background

作者:Auzzi Roberto*; Baiguera Stefano; Nardelli Giuseppe
来源:PHYSICAL REVIEW D, 2018, 97(8): 085010.
DOI:10.1103/PhysRevD.97.085010

摘要

Using the heat kernel method, we compute nonrelativistic trace anomalies for Schrodinger theories in flat spacetime, with a generic background gauge field for the particle number symmetry, both for a free scalar and a free fermion. The result is genuinely nonrelativistic, and it has no counterpart in the relativistic case. Contrary to naive expectations, the anomaly is not gauge invariant; this is similar to the nongauge covariance of the non-Abelian relativistic anomaly. We also show that, in the same background, the gravitational anomaly for a nonrelativistic scalar vanishes.

  • 出版日期2018-4-11