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2008

Quantum scale invariance, cosmological constant and hierarchy problem

Shaposhnikov, Mikhail, Zenhausern, Daniel

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We construct a class of theories which are scale invariant on quantum level in all orders of perturbation theory.

In a subclass of these models scale invariance is spontaneously broken, leading to the existence of a massless dilaton.
The applications of these results to the problem of stability of the electroweak scale against quantum corrections, to the cosmological constant problem and to dark energy are discussed.

Quantum scale invariance, cosmological constant and hierarchy problem · Around

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F. Englert, C. Truffin and R. Gastmans, Nucl. Phys. B 117
1976
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S. Coleman, “Dilatations”, in “Aspects of symmetry”, Cambridge University Press, 1985, p. 67
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I. L. Buchbinder, S. D. Odintsov and I. L. Shapiro, “Effective action in quantum gravity,” Bristol, UK: IOP (1992) 413 p
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M. Shaposhnikov and D. Zenhäusern, arXiv:0809.3395 [hep-th]
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M. Shaposhnikov, arXiv:0708.3550 [hep-th]
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F. L. Bezrukov and M. Shaposhnikov, Phys. Lett. B 659
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