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

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

2007-05-07

arxiv.org/abs/0705.0899v2

Physics

General Physics

9 pages. Submitted to Phys. Rev. D (R); Typos are improved

Scientific paper

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.

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