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The conformal anomaly (also known as the stress-energy trace anomaly) of aninteracting quantum theory, associated with violation of Weyl (conformal)symmetry by quantum effects, can be amended if one endows the theory with adilatation current coupled to a vector field that is the gauge connection oflocal Weyl symmetry transformations. The natural candidate for this Weylconnection is the trace of the geometric torsion tensor, especially if onerecalls that pure (Cartan-Einstein) gravity with torsion is conformal. We firstpoint out that both canonical and path integral quantisation respect Weylsymmetry. The only way quantum effects can violate conformal symmetry is by theprocess of regularization. However, if one calculates an effective action froma conformally invariant classical theory by using a regularisation procedurethat is conform with Weyl symmetry, then the conformal Ward identities will besatisfied. In this sense Weyl symmetry is not broken by quantum effects. Thiswork suggests that Weyl symmetry can be treated on equal footing with gaugesymmetries and gravity, for which an infinite set of Ward identities guaranteesthat they remain unbroken by quantum effects.

Is conformal symmetry really anomalous?