Shaposhnikov, MikhailTkachev, Igor2010-11-302010-11-302010-11-30200910.1016/j.physletb.2009.04.040https://infoscience.epfl.ch/handle/20.500.14299/60187WOS:000266369300025We propose a scheme leading to a non-perturbative definition of lattice field theories which are scale-invariant on the quantum level. A key idea of the construction is the replacement of the lattice spacing by a propagating dynamical field - the dilaton. We describe how to select non-perturbatively the phenomenologically viable theories where the scale invariance is broken spontaneously. Relation to gravity is also discussed. (C) 2009 Elsevier B.V. All rights reserved.Quantum scale invarianceLatticeQuantum gravityConformal-InvarianceSurface ModelsGravityTrivialityCosmologytext::journal::journal article::research article