Torsional Regularization of Self-Energy and Bare Mass of Electron

Abstract In the presence of spacetime torsion, the momentum components do not commute; therefore, in quantum field theory, summation over the momentum eigenvalues will replace integration over the momentum.
In the Einstein--Cartan theory of gravity, in which torsion is coupled to spin, the separation between the eigenvalues increases with the magnitude of the momentum.
Consequently, this replacement regularizes divergent integrals in Feynman diagrams with loops by turning them into convergent sums.
In this article, we apply torsional regularization to the self-energy of a charged lepton in quantum electrodynamics.
We show that torsion eliminates the ultraviolet divergence of the standard self-energy. 
We also show that the infrared divergence is absent.
In the end, we calculate the finite bare masses of the electron, muon, and tau lepton: $0.4329\,\mbox{MeV}$, $90.95\,\mbox{MeV}$, and $1543\,\mbox{MeV}$, respectively.
These values constitute about $85\%$ of the observed, re-normalized masses.

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Publication Details

Journal
Classical and Quantum Gravity
Published
2024-09-17
DOI
https://doi.org/10.1088/1361-6382/ad7c16
Primary Topic
Crystallography and Radiation Phenomena
Type
article
Field-Weighted Citation Impact
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article

Torsional Regularization of Self-Energy and Bare Mass of Electron

Nikodem J. Popławski, Michael John Del Grosso
Classical and Quantum Gravity
Crystallography and Radiation Phenomena
article

Torsional Regularization of Self-Energy and Bare Mass of Electron

Nikodem J. Popławski, Michael John Del Grosso
article en

Abstract

Abstract In the presence of spacetime torsion, the momentum components do not commute; therefore, in quantum field theory, summation over the momentum eigenvalues will replace integration over the momentum.
In the Einstein--Cartan theory of gravity, in which torsion is coupled to spin, the separation between the eigenvalues increases with the magnitude of the momentum.
Consequently, this replacement regularizes divergent integrals in Feynman diagrams with loops by turning them into convergent sums.
In this article, we apply torsional regularization to the self-energy of a charged lepton in quantum electrodynamics.
We show that torsion eliminates the ultraviolet divergence of the standard self-energy. 
We also show that the infrared divergence is absent.
In the end, we calculate the finite bare masses of the electron, muon, and tau lepton: $0.4329\,\mbox{MeV}$, $90.95\,\mbox{MeV}$, and $1543\,\mbox{MeV}$, respectively.
These values constitute about $85\%$ of the observed, re-normalized masses.

Classical and Quantum Gravity
Rensselaer Polytechnic Institute (US), University of New Haven (US)
Openalex Percentile: Top 91%
Crystallography and Radiation Phenomena
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Torsional Regularization of Self-Energy and Bare Mass of Electron — Nikodem J. Popławski, Michael John Del Grosso · Classical and Quantum Gravity (2024) | TGRS Research Map | TGRS