Nonrelativistic trace and diffeomorphism anomalies in particle number background

Roberto Auzzi, Giuseppe Nardelli, Stefano Baiguera

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

2 Citazioni (Scopus)

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 originaleEnglish
pagine (da-a)1-15
Numero di pagine15
RivistaPhysical Review D
Volume97
DOI
Stato di pubblicazionePubblicato - 2018

Keywords

  • Anomalies in Field and String Theories

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