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Gravitational Anomaly




In - usually a One-loop Diagram - that invalidates the General Covariance of a theory of General Relativity combined with some other fields. The adjective "gravitational" is derived from the symmetry of a gravitational theory, namely from general covariance.

The anomaly usually appears as a Feynman Diagram with a Chiral Fermion running in the loop (a polygon) with ''n'' external Graviton s attached to the loop where n=1+D/2 where D is the Spacetime dimension. Anomalies only occur in even spacetime dimensions. General covariance is a very important symmetry for the consistency of the whole theory, and therefore all gravitational anomalies must cancel out.

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