Scale invariance and dilaton mass

  title={Scale invariance and dilaton mass},
  author={Ichiro Oda},
  journal={Advanced Studies in Theoretical Physics},
  • I. Oda
  • Published 28 October 2021
  • Physics
  • Advanced Studies in Theoretical Physics
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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