Four-Fermion Interaction Approximation of the Intermediate Vector Boson Model

Abstract In the present paper, we show that when the mass of the Proca field is large enough, the Dirac-Proca equations are approximated by the cubic Dirac equation. This justifies the four-fermion interaction approximation of the intermediate vector boson model in a mathematically rigorous sense. The proof is based on the Strichartz estimate of the Proca sector with mass parameter.

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Publication Details

Journal
Bulletin of the Brazilian Mathematical Society New Series
Published
2024-12-07
DOI
https://doi.org/10.1007/s00574-024-00425-4
Primary Topic
Advanced Mathematical Physics Problems
Type
article
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article

Four-Fermion Interaction Approximation of the Intermediate Vector Boson Model

Yoshio Tsutsumi
Bulletin of the Brazilian Mathematical Society New Series
Advanced Mathematical Physics Problems
article

Four-Fermion Interaction Approximation of the Intermediate Vector Boson Model

Yoshio Tsutsumi
article en

Abstract

Abstract In the present paper, we show that when the mass of the Proca field is large enough, the Dirac-Proca equations are approximated by the cubic Dirac equation. This justifies the four-fermion interaction approximation of the intermediate vector boson model in a mathematically rigorous sense. The proof is based on the Strichartz estimate of the Proca sector with mass parameter.

Bulletin of the Brazilian Mathematical Society New SeriesVol. 56(1)
Kyoto University (JP)
Openalex Percentile: Top 63%
Advanced Mathematical Physics Problems
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Four-Fermion Interaction Approximation of the Intermediate Vector Boson Model — Yoshio Tsutsumi · Bulletin of the Brazilian Mathematical Society New Series (2024) | TGRS Research Map | TGRS