Gretsch, FredericMonin, Alexander2015-09-282015-09-282015-09-28201510.1103/PhysRevD.92.045036https://infoscience.epfl.ch/handle/20.500.14299/118759WOS:000360126200007Spontaneous symmetry breaking with necessity leads to the presence of Goldstone field(s). In the case of scale or conformal symmetries the corresponding Goldstone mode is called the dilaton. Consistently coupling a system to the dilaton poses certain difficulties, for the trace of the energy momentum tensor may not necessary be zero, which in turn leads to the dilaton acquiring a mass. In this paper we present the approach allowing perturbatively to keep the dilaton massless, i.e. to preserve conformal symmetry, at any fixed order in perturbation theory.text::journal::journal article::research article