Events2nd Electronic Conference on Universe
Published
This submission belongs to the session S2. Field Theory of the event 2nd Electronic Conference on Universe
Published date
17 Feb, 2023
Academic Editor
author-avatarGerald Cleaver
Citation
Siamak Tafazoli, Calculation of the Vacuum Energy Density using Zeta Function Regularization, in Proceedings of 2nd Electronic Conference on Universe, 16 February–2 March 2023, MDPI: Basel, Switzerland, doi: 10.3390/ECU2023-14053
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Calculation of the Vacuum Energy Density using Zeta Function Regularization

1. Ronin Institute
Abstract

Much has been written on the vacuum catastrophe and cosmological constant problem where we have the worst discrepancy between theory and measurement of about a factor of 120 orders of magnitude. In this paper, we improve this discrepancy by more than half which still remains very high, but also propose 3 avenues, one of which is an exciting prediction of a missing bosonic particle, that can help resolve the vacuum catastrophe. The paper builds on the standard theoretical calculation of the vacuum energy density using a quantum harmonic oscillator model and then sums the contributions of all the Standard Model's quantum fields vacuum states. The basis for this calculation is a new Zeta function regularization method used to tame the infinities present in the improper integrals of power functions. The paper also presents a few other findings in the area of vacuum energy.

Keywords
Vacuum Energy
Vacuum Catastrophe
Cosmological Constant problem
Zeta function regularization
Manuscript
Poster
sciforum-067248-presentation.pdf
The geometry of gauged (super)conformal mechanics
Construction of discrete symmetries using the Pauli algebra form of the Dirac equation