Unphysical Gauge Fixing in Higgs Mechanism

TL;DR

This paper argues that the unitary gauge in the Higgs mechanism is not a true gauge fixing but a procedural step, suggesting a reevaluation of the weak interaction Lagrangian starting from massive vector bosons.

Contribution

It challenges the conventional understanding of gauge fixing in the Higgs mechanism and proposes a reformulation based on massive vector bosons as fundamental entities.

Findings

The unitary gauge is not a proper gauge fixing.

Reconsideration of the weak interaction Lagrangian from massive vector bosons.

Implication for the theoretical foundation of the Higgs mechanism.

Abstract

The unitary gauge in the Higgs mechanism is to impose the condition of $\phi =\phi^\dagger $ on the Higgs fields. However, this is not the gauge fixing but simply a procedure for producing the massive vector boson fields by hand. The Lagrangian density of the weak interactions should be reconsidered by starting from the massive vector boson fields which couple to the fermion currents as the initial ingredients.