C-symmetric quantization of fields leading to a natural normal ordering

TL;DR

This paper introduces a C-symmetric quantization method for fields that naturally results in normal ordering of operators and eliminates zero-point energy, potentially addressing vacuum energy issues.

Contribution

It demonstrates that C-symmetry conditions lead to operator identities that replace negative frequency operators, producing normal ordering without zero-point energy for certain Lagrangians.

Findings

Operators become normal ordered, removing zero-point energy.

C-symmetric quantization aligns with experimental observations.

Potential implications for solving vacuum energy problems.

Abstract

At the quantization of fields, due to the non-linear character of the time reversal, the creation-annihilation operators for the negative frequency modes should be replaced to the operators of antiparticles not directly in the field operators, but in the operator products. For the standard minimal Lagrangians (asymmetrical under the complex conjugated fields) it is shown that the charge conjugation (C-) symmetry conditions for the Hamiltonian and the charge operator lead to the identities for the operator products allowing one to replace the negative frequency operator products to the positive frequency ones. At the same time the operators in observables become normal ordered and the zero-point energy does not appear. Only the symmetrized under the field operators Lagrangians lead to the zero-point energy. The confrontation by the experiments of the such C-symmetric quantization of fields and the solution some of the vacuum energy problems are discussed.