Weyl current, scale-invariant inflation, and Planck scale generation

Scalar fields, ϕ_i, can be coupled nonminimally to curvature and satisfy the general criteria: (i) the theory has no mass input parameters, including M_P=0 ; (ii) the ϕ_i have arbitrary values and gradients, but undergo a general expansion and relaxation to constant values that satisfy a nontrivial constraint, K (ϕ_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_μ. At the quantum level the Weyl scale symmetry can be maintained by an invariant specification of renormalized quantities.