Scale invariance and dilaton mass

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

References

SHOWING 1-10 OF 19 REFERENCES

Higgs Mechanism in Scale-Invariant Gravity

We consider a Higgs mechanism in scale-invariant theories of gravitation. It is shown that in spontaneous symmetry breakdown of scale invariance, gauge symmetries are also broken spontaneously even

Conformal invariance in quantum gravity

Necessity and Insufficiency of Scale Invariance for solving Cosmological Constant Problem

A scenario based on the scale invariance for explaining the vanishing cosmological constant (CC) is discussed. I begin with a notice on the miraculous fact of the CC problem that the vacuum energies

Running couplings with a vanishing scale anomaly

A bstractRunning couplings can be understood as arising from the spontaneous breaking of an exact scale invariance in appropriate effective theories with no dilatation anomaly. Any ordinary quantum

Classical Weyl transverse gravity

We study various classical aspects of the Weyl transverse (WTDiff) gravity in a general space-time dimension. First of all, we clarify a classical equivalence among three kinds of gravitational

Long range forces and broken symmetries

  • P. Dirac
  • Physics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1973
There are reasons for believing that the gravitational constant varies with time. Such a variation would force one to modify Einstein’s theory of gravitation. It is proposed that the modification

Radiative Corrections as the Origin of Spontaneous Symmetry Breaking

We investigate the possibility that radiative corrections may produce spontaneous symmetry breakdown in theories for which the semiclassical (tree) approximation does not indicate such breakdown. The

Scale invariance and gravitational coupling

Axion homeopathy: screening dilaton interactions

Cosmologically active Brans-Dicke (or dilaton) scalar fields are generically ruled out by solar system tests of gravity unless their couplings to ordinary matter are much suppressed relative to