Theoretical Physics, Astrophysics & Cosmology

 Vol. 1, No. 4, p. 74 - 87.    28 November  2006   version 1  

Quantum Field Theory and Experiments about
the Vanishing of Zero-Point Vacuum Energy

Zahid Zakir

Centre for Theoretical Physics and Astrophysics

Tashkent, Uzbekistan

http://ctpa.theorphys.org;  ctpa@theorphys.org

Abstract

It is shown that at quantization of fields only symmetrized Hamiltonians lead to a divergent zero-point vacuum energy, while in the case of unsymmetrized Hamiltonians the zero-point vacuum energy and zero-point charge do not arise at using the charge conjugation symmetry conditions. The observable effects are described exactly or as the physical vacuum fluctuations corresponding to loop diagrams (Lamb shift), or as the fluctuations of fields of real sources (Casimir effect). Both kinds of vacuum fluctuations are created by the interaction Hamiltonians, and they have no any relation to zero-point fluctuations of (external) vacuum fields creating the zero-point vacuum energy in free Hamiltonians. Therefore, in fact the known experiments exclude the existence of the zero-point fluctuations of the pure vacuum fields and the zero-point vacuum energy, and allow one to use only unsymmetrized Lagrangians for the relativistic fields.

PACS: 03.70. + k; 11.10.-z; 11.30. Er

               Vacuum energy, vacuum fluctuations, Lamb shift, Casimir effect, time reversal, charge

               conjugation, cosmological constant

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