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Quantum scale invariance on the lattice

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.

preprint2008arXivOpen access
Mikhail E. ShaposhnikovIgor I. Tkachev
gr-qchep-lathep-th
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Mikhail E. ShaposhnikovIgor I. Tkachev

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