Quantum scale invariance on the lattice

Details Quantum scale invariance on the lattice Quantum scale invariance on the lattice

2008-11-12

arxiv.org/abs/0811.1967v1

Phys.Lett.B675:403-406,2009

Physics

High Energy Physics

High Energy Physics - Theory

5 pages

Scientific paper

10.1016/j.physletb.2009.04.040

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.

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