About the electroweak vacuum and its connection with the quark condensates

TL;DR

This paper explores the connection between the electroweak vacuum and quark condensates by reformulating the Higgs field as a fermion operator, deriving relations among quark condensates, masses, and the theory's scale.

Contribution

It introduces a novel approach by replacing the Higgs field with a fermion operator and analyzes the implications for electroweak symmetry breaking within the standard model.

Findings

Heavy quark condensates do not support dynamical electroweak symmetry breaking with only standard model fermions.

Derived a relation linking quark condensates, quark masses, and the intrinsic scale of the theory.

Showed the fermion operator responsible for the electroweak vacuum in the path integral formalism.

Abstract

We make a change of variable in the standard model Higgs field by a fermion operator and show that the latter is responsible for the electroweak vacuum. By computing the vacuum expectation value of this fermion operator in the path integral formalism we determine a relation among the quark vacuum condensates, the quark masses and the intrinsic scale of the theory. We show that the heavy quark vacuum condensates do not justify the hypothesis of dynamical electroweak symmetry breaking with only standard model fermions.