High Energy Particle Physics

    

On the Onset of Ultraviolet Turbulence in Quantum Chromodynamics

Authors: Ervin Goldfain

We derive the Renormalization Group (RG) behavior of non Abelian gauge theory under the assumption that spacetime has a scale dependent effective dimensional deviation in the deep ultraviolet (UV) and approaching zero in the infrared (IR). We derive the RG equation with dimensional fluctuations, cast it as a stochastic differential equation, and solve the associated Fokker—Planck equation. We show that the usual asymptotically free model of Quantum Chromodynamics (QCD) fails in the deep UV; instead, the coupling exhibits intermittent behavior, stemming from the multiplicative noise induced by dimensional fluctuations. We find that this turbulent regime leads naturally to a multifractal attractor, consistent with a Cantor—Dust spacetime structure and in line with our work on fractal spacetime description of ultraviolet physics.

Comments: 15 Pages.

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Submission history

[v1] 2026-03-08 03:40:08

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