The hypercomplex equations for fermion interaction description

TL;DR

This paper introduces hypercomplex equations to describe fermion interactions with bosons, maintaining renormalization and invariance without relying on spontaneous symmetry breaking, offering a novel theoretical framework.

Contribution

The paper presents a new set of hypercomplex equations for fermion-boson interactions that preserve renormalization and invariance, avoiding the need for spontaneous symmetry violation.

Findings

Equations lead to renormalizable propagators

Invariance under limited calibration transformations

Describes fermion interactions via massive bosons without symmetry breaking

Abstract

Equations are proposed for the description of the fermion interaction via massive and massless bosons. These equations lead to the propagators which maintain theory renormalization. These equations are also invariant with respect to the limited calibration transformations. Such an approach leads to the possibility of describing fermion interaction via massive bosons and not referring to the spontaneous symmetry violation.