Canonical quantization of elementary fields

TL;DR

This paper proposes an improved canonical quantization method for elementary fields that resolves fundamental inconsistencies in quantum field theory and addresses the cosmological constant problem for standard model fields.

Contribution

It introduces a new quantization approach distinguishing elementary from non-elementary fields, fixing inconsistencies and solving the cosmological constant problem for standard model fields.

Findings

Removes inconsistency between vacuum energy and pressure in quantum field theory.

Solves the cosmological constant problem for all standard model fields.

Maintains the successes of established quantum field theory.

Abstract

An inconsistency of quantum field theory, regarding the signs of vacuum energy and vacuum pressure of elementary fields versus non-elementary fields (like e.g. phonon fields), is pointed out. An improved law for the canonical quantization of fields is presented, which is based on the distinction between elementary and non-elementary fields. Remarkably, the improved quantization method removes not only the inconsistency of quantum field theory, but at the same time solves the (old) cosmological constant problem for all fields of the standard model of elementary particles (but not for the hypothetical inflaton fields), without compromising any of the achievements of established quantum field theory.