# Scale invariance and dilaton mass

@article{Oda2021ScaleIA, title={Scale invariance and dilaton mass}, author={Ichiro Oda}, journal={Advanced Studies in Theoretical Physics}, year={2021} }

We consider a generic scale invariant scalar quantum ﬁeld theory and its symmetry breakdown. Based on the dimension counting identity, we give a concise proof that dilaton is exactly massless at the classical level if scale invariance is broken spontaneously. On the other hand, on the basis of the generalized dimension counting identity, we prove that the dilaton becomes massive at the quantum level if scale invariance is explicitly broken by quantum anomaly. It is pointed out that a subtlety…

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