Dynamically generated heavy scalar fields in the Standard Model of Electroweak Interactions

TL;DR

This paper proposes a nonperturbative approach within the Standard Model where heavy scalar fields are dynamically generated through fermion mass effects, leading to fixed gauge fixings without the Faddeev-Popov method.

Contribution

It introduces a new perturbation theory based on dynamically generated gauge fixings, avoiding the traditional Faddeev-Popov procedure, and predicts extremely heavy scalar particles.

Findings

Scalar masses around 10^{14} GeV

Negative probability for the scalars

Gauge fixings generated by fermion currents

Abstract

It is shown that the gauge fixings of the Z and the W fields and three scalars are via nonconserved axial-vector and charged vector currents of massive fermions dynamically generated by fermion masses in the SM of EW interactions. The top quark mass provides enough strength for this chiral symmetry breaking. The masses of the three scalars are determined to be about $10^{14}$ GeV. These scalars have negative probability. They are the nonperturbative solutions of the SM. A new perturbation theory with dynamically generated and fixed gauge fixings is constructed. The Faddeev-Popov procedure is not invoked.