# 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…

## References

SHOWING 1-10 OF 19 REFERENCES

### Higgs Mechanism in Scale-Invariant Gravity

- Physics
- 2013

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…

### Manifestly scale-invariant regularization and quantum effective operators

- Physics
- 2016

Scale invariant theories are often used to address the hierarchy problem, however the regularization of their quantum corrections introduces a dimensionful coupling (dimensional regularization) or…

### Necessity and Insufficiency of Scale Invariance for solving Cosmological Constant Problem

- Physics
- 2020

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

- Physics
- 2013

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

- Physics
- 2016

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

- PhysicsProceedings 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

- Physics
- 1973

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…