Abstract
Using the heat kernel method, we compute nonrelativistic trace anomalies for Schrödinger 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.
Lingua originale | English |
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pagine (da-a) | 1-15 |
Numero di pagine | 15 |
Rivista | Physical Review D |
Volume | 97 |
DOI | |
Stato di pubblicazione | Pubblicato - 2018 |
Keywords
- Anomalies in Field and String Theories