A Dynamical Renormalization Field Unifying UV Completion, QCD Consistency, and Early Dark Energy (v1)

We propose a unified framework in which renormalization is promoted from a formal tool to a dynamical physical degree of freedom. A scalar renormalization field δ (x) is introduced to parameterize the flow of couplings and the effective nonlocal scale governing quantum field theory and gravity. The requirement of renormalization consistency, combined with a timeless variational principle, leads to a nonlocal ultraviolet completion characterized by ghost-free exponential form factors. In this framework, the same dynamical field δ (x) controls both particle physics and cosmology. At early times, δ resides near a plateau of its effective potential, generating a transient early dark energy (EDE) component at the percent level. As the universe evolves, a field-dependent coupling to matter density dynamically triggers the evolution of δ, overcoming Hubble friction while avoiding runaway behavior through exponential self-suppression. This evolution drives an exponential growth of the nonlocal scale, M (δ) = M₀ exp (γδ), ensuring compatibility with precision QCD constraints at late times. We show that the model simultaneously satisfies: (i) ghost-free and super-renormalizable ultraviolet behavior, (ii) recovery of standard QCD running at accessible energies, (iii) a lower bound on the nonlocal scale M (δₜoday) ≳ 10⁴–10⁵ GeV, and (iv) a viable early dark energy component consistent with cosmological observations. The resulting dynamics provides a self-regulating mechanism linking ultraviolet completion, renormalization group flow, and cosmic evolution. This framework suggests that the separation between particle physics and cosmology is emergent, with both governed by the dynamical evolution of a single renormalization field. We discuss observable consequences in the cosmic microwave background and high-energy scattering, as well as theoretical consistency conditions and future directions.