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arXiv · 1711.00910

Nonrelativistic trace and diffeomorphism anomalies in particle number background

Roberto Auzzi·Stefano Baiguera·Giuseppe Nardelli
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Abstract

Using the heat kernel method, we compute nonrelativistic trace anomalies for Schr\"odinger 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 the naive expectations, the anomaly is not gauge-invariant; this is similar to the non-gauge covariance of the non-abelian relativistic anomaly. We also show that, in the same background, the gravitational anomaly for a nonrelativistic scalar vanishes.

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Roberto Auzzi, Stefano Baiguera, Giuseppe Nardelli. 2017-11-02. Nonrelativistic trace and diffeomorphism anomalies in particle number background. https://doi.org/10.1103/physrevd.97.085010

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