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Four-Fermion Interaction Approximation of the Intermediate Vector Boson Model

  • Yoshio Tsutsumi

摘要

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.