Bonn - Small Lecture Hall Mathematics
The naturally light dilaton
The Goldstone theorem does not apply straightforwardly to the case of spontaneously broken spacetime symmetries such as dilatation invariance. We elucidate under which conditions a light scalar degree of freedom, identifiable with the dilaton, can naturally arise in a field theory. Our construction can be considered as an example of an explicit dynamical solution to the Cosmological Constant problem in the scalar version of gravity. Note added: it is NOT about interpreting the Higgs boson as a dilaton/impostor.