Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On the Evaluation of Vacuum Energy Density in Quantum Field Theory

Version 1 : Received: 25 January 2021 / Approved: 27 January 2021 / Online: 27 January 2021 (13:11:39 CET)

How to cite: Goldfain, E. On the Evaluation of Vacuum Energy Density in Quantum Field Theory. Preprints 2021, 2021010562 (doi: 10.20944/preprints202101.0562.v1). Goldfain, E. On the Evaluation of Vacuum Energy Density in Quantum Field Theory. Preprints 2021, 2021010562 (doi: 10.20944/preprints202101.0562.v1).

Abstract

The textbook analysis of vacuum energy density (VED) in flat spacetime follows from Pauli’s lectures of 1951, in which quantum vacuum is modeled as a reservoir of free harmonic oscillators. In his lectures, Pauli shows that deriving a nearly vanishing VED is contingent upon fulfilling three corollary conditions called polynomial-in-mass-constraints. The goal of this work is to evaluate Pauli’s constraints against the Standard Model parameters and the Higgs mechanism of spontaneous symmetry breaking.

Subject Areas

zero-point energy density; vacuum energy density; Standard Model parameters; mass spectrum; Renormalization Group flow; Higgs mechanism; cosmological constant problem

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