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February 19, 2026The European Physical Journal COpen Access

High-energy behaviour of Fermi theory

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Authors

ABA. T. BorlakovJoint Institute for Nuclear ResearchDKD.I. KazakovJoint Institute for Nuclear Research

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Implication

This analysis explores high-energy behavior in massless Fermi theory, revealing unitarity implications and logarithmic contributions.

Key Points

  • The study investigates the high-energy behavior of 4-fermion scattering in massless Fermi theory.
  • Derivation of recurrence relations for ultraviolet divergences based on the Bogolyubov–Parasyuk theorem.
  • Validation of these relations up to three loops by comparison with previous calculations.
  • Construction of the RG equation to sum leading logarithmic contributions in perturbation theory.
  • Numerical analysis in the asymptotic regime for two cases: unit operator and V–A operator.
  • For the unit operator, the high-energy behavior indicates the emergence of a Landau pole.
  • The V–A operator demonstrates asymptotic freedom, restoring unitarity lost at tree level.
  • Comparison shows an overlap in amplitude behavior between this theory and the theory with intermediate gauge bosons.

Cite This Study

Borlakov et al. (2026) studied this question.

synapsesocial.com/papers/6996a8efecb39a600b3f03d5https://doi.org/10.1140/epjc/s10052-026-15317-8
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Also Consider

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  1. 1Loop corrections to the four-fermion interaction2025 · 2 citations