We show that the gravitational trace and chiral anomalies can be computed from the measure by using the same general Hat-space methods as used for nongravitational anomalies. No heat-kernel methods, zeta-function regularization, point-splitting techniques, etc., are needed, although they may be used and then simplify the algebra. In particular, we claim that it is not necessary to insert factors of g' which are often added on grounds of covariance, since one-loop anomalies are local objects, while the trace of the Jacobian of the measure is a purely mathematical object which can be evaluated whether or not one has even heard about general relativity. We also show that the trace operation is cyclic by performing two different computations of the Einstein anomaly: once with the regulator in front of the Jacobian and once in the back. In both cases we obtain total derivatives on a plane-wave basis.

Curved-space trace, chiral, and Einstein anomalies from path integrals, using flat-space plane waves / A. Ceresole, P. Pizzochero, P. Vannieuwenhuizen. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - 39:6(1989), pp. 1567-1578. [10.1103/PhysRevD.39.1567]

Curved-space trace, chiral, and Einstein anomalies from path integrals, using flat-space plane waves

P. Pizzochero;
1989

Abstract

We show that the gravitational trace and chiral anomalies can be computed from the measure by using the same general Hat-space methods as used for nongravitational anomalies. No heat-kernel methods, zeta-function regularization, point-splitting techniques, etc., are needed, although they may be used and then simplify the algebra. In particular, we claim that it is not necessary to insert factors of g' which are often added on grounds of covariance, since one-loop anomalies are local objects, while the trace of the Jacobian of the measure is a purely mathematical object which can be evaluated whether or not one has even heard about general relativity. We also show that the trace operation is cyclic by performing two different computations of the Einstein anomaly: once with the regulator in front of the Jacobian and once in the back. In both cases we obtain total derivatives on a plane-wave basis.
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
Article (author)
File in questo prodotto:
File Dimensione Formato  
PhysRevD.39.1567.pdf

accesso riservato

Tipologia: Publisher's version/PDF
Dimensione 444.51 kB
Formato Adobe PDF
444.51 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/741533
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 16
  • ???jsp.display-item.citation.isi??? 16
social impact