2008/11/12 by Mikhail Shaposhnikov, Mikhail E. Shaposhnikov, I. Tkachev +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Dilaton #Gauge theory #Invariant (physics) #Lattice (music) #Lattice field theory #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum field theory #Quantum gravity #Quantum mechanics #Scale invariance #Statistical physics #Theoretical physics #gr-qc #hep-lat #hep-th
paper · pdf · doi:10.1016/j.physletb.2009.04.040
published as Phys.Lett.B675:403-406,2009 · 5 pages
arxiv created 2008/11/12 · openalex publication_date 2009/04/18 · arxiv updated 2010/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We 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.