Quantum scale invariance on the lattice
High Energy Physics - Theory
2010-12-09 v1 General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Abstract
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.
Cite
@article{arxiv.0811.1967,
title = {Quantum scale invariance on the lattice},
author = {Mikhail E. Shaposhnikov and Igor I. Tkachev},
journal= {arXiv preprint arXiv:0811.1967},
year = {2010}
}
Comments
5 pages