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arXiv · 1610.09243

Weyl Current, Scale-Invariant Inflation and Planck Scale Generation

Pedro G. Ferreira·Christopher T. Hill·Graham G. Ross
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Abstract

Scalar fields, $\phi_i$ can be coupled non-minimally to curvature and satisfy the general criteria: (i) the theory has no mass input parameters, including the Planck mass; (ii) the $\phi_i$ have arbitrary values and gradients, but undergo a general expansion and relaxation to constant values that satisfy a nontrivial constraint, $K(\phi_i) =$ constant; (iii) this constraint breaks scale symmetry spontaneously, and the Planck mass is dynamically generated; (iv) there can be adequate inflation associated with slow roll in a scale invariant potential subject to the constraint; (v) the final vacuum can have a small to vanishing cosmological constant (vi) large hierarchies in vacuum expectation values can naturally form; (vii) there is a harmless dilaton which naturally eludes the usual constraints on massless scalars. These models are governed by a global Weyl scale symmetry and its conserved current, $K_\mu$ . At the quantum level the Weyl scale symmetry can be maintained by an invariant specification of renormalized quantities.

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Pedro G. Ferreira, Christopher T. Hill, Graham G. Ross. 2016-10-28. Weyl Current, Scale-Invariant Inflation and Planck Scale Generation. https://doi.org/10.1103/physrevd.95.043507

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