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arXiv · 0811.1967

Quantum scale invariance on the lattice

Mikhail E. Shaposhnikov·Igor I. Tkachev
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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.

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Mikhail E. Shaposhnikov, Igor I. Tkachev. 2008-11-12. Quantum scale invariance on the lattice. https://doi.org/10.1016/j.physletb.2009.04.040

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