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.

Auzzi, R., Baiguera, S., Nardelli, G., Nonrelativistic trace and diffeomorphism anomalies in particle number background, <<PHYSICAL REVIEW D>>, 2018; 97 (8): 1-15. [doi:10.1103/PhysRevD.97.085010] [http://hdl.handle.net/10807/119526]

Nonrelativistic trace and diffeomorphism anomalies in particle number background

Auzzi, Roberto;Baiguera, Stefano;Nardelli, Giuseppe
2018

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.
2018
Inglese
Auzzi, R., Baiguera, S., Nardelli, G., Nonrelativistic trace and diffeomorphism anomalies in particle number background, <<PHYSICAL REVIEW D>>, 2018; 97 (8): 1-15. [doi:10.1103/PhysRevD.97.085010] [http://hdl.handle.net/10807/119526]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/119526
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