Quantum Field theory in Fractal Space-Time with Negative Hausdorff-Colombeau Dimensions. The Solution Cosmological Constant Problem.

56 Pages Posted: 11 Feb 2019

See all articles by Jaykov Foukzon

Jaykov Foukzon

Israel Institute of Technology, Haifa, Israel

E.R. Men’kova

All-Russian Research Institute for Optical and Physical Measurements

A. A. Potapov

Kotel’nikov Institute of Radioengineering and Electronics of the Russian Academy of Sciences

S. A. Podosenov

All-Russian Research Institute for Optical and Physical Measurements

Date Written: January 28, 2019

Abstract

The cosmological constant problem arises because the magnitude of vacuum energy density predicted by quantum field theory is about 120 orders of magnitude larger than the value implied by cosmological observations of accelerating cosmic expansion. We pointed out that the fractal nature of the quantum space-time with negative Hausdorff- Colombeau dimensions can resolve this tension. The canonical Quantum Field Theory is widely believed to break down at some fundamental high-energy cutoff Ʌ* and therefore the quantum fluctuations in the vacuum can be treated classically seriously only up to this high-energy cutoff. In this paper we argue that Quantum Field Theory in fractal space-time with negative Hausdorff-Colombeau dimensions gives high-energy cutoff on natural way. In order to obtain disered physical result we apply the canonical Pauli-Villars regularization up to Ʌ. It means that there exist the ghost-driven acceleration of the univers hidden in cosmological constant.

Suggested Citation

Foukzon, Jaykov and Men’kova, E.R. and Potapov, A. A. and Podosenov, S. A., Quantum Field theory in Fractal Space-Time with Negative Hausdorff-Colombeau Dimensions. The Solution Cosmological Constant Problem. (January 28, 2019). Available at SSRN: https://ssrn.com/abstract=3324024 or http://dx.doi.org/10.2139/ssrn.3324024

Jaykov Foukzon (Contact Author)

Israel Institute of Technology, Haifa, Israel ( email )

E.R. Men’kova

All-Russian Research Institute for Optical and Physical Measurements

Russia

A. A. Potapov

Kotel’nikov Institute of Radioengineering and Electronics of the Russian Academy of Sciences

Moscow
Russia

S. A. Podosenov

All-Russian Research Institute for Optical and Physical Measurements

Russia

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