Archive for the ‘No 4’ Category


Quantum field theory and experiments about vanishing of the zero-point vacuum energy

Zahid Zakir [1]


     At quantization of relativistic fields the Hamiltonians symmetrized under the complex conjugate field operators lead to a zero-point vacuum energy. The standard recipe, introducing the operators of antiparticles, breaks the charge conjugation (C) symmetry. For the Hamiltonians unsymmetrical under the field operators at exact C-symmetry requirement the vacuum does not contain a zero-point energy and zero-point charge. The observable effects are described or as fluctuations of the physical vacuum with loop diagrams (Lamb shift), or as fluctuations of fields of real sources (Casimir effect). Both kind of vacuum fluctuations are created by the interaction Hamiltonians and they have no any relation to the zero-point fluctuations of (external) vacuum fields creating the zero-point vacuum energy in the 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 for the relativistic fields allow one to use only Hamiltonians unsymmetrized under the complex conjugate field operators with unbroken C-symmetry.

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

Key wordsvacuum energy, vacuum fluctuations, Lamb shift, Casimir effect, time reversal, charge conjugation, cosmological constant

Vol. 1, No 4,  p. 61 – 72, v1,   28 November 2006

Online: TPAC: 2158-005 v2,  28 September 2012; DOI: 10.9751/TPAC.2158-005

[1] Centre for Theoretical Physics and Astrophyics, Tashkent, Uzbekistan