TPAC: 2091-002 v2, Vol. 1, p. 11–27
T- and CP-symmetric quantization of fields without zero-point energy
Abstract
The standard replacement of negatively-frequency operators of relativistic fields to operators of antiparticles leads to incomplete time-reversal in field’s observables. In fact, a correct transition to the operators of antiparticles occurs only at a full T- or CP-transformation of matrix elements. Then the operators of observables of T- or CP-symmetric fields with standard Lagrangians appear as normal-ordered and the zero-point energy and the zero-point charge do not arise. The rules for the CP-symmetric quantization of fields are formulated and also the theorem about vanishing of the zero-point energy is proved. The theorem is in agreement with all known experiments since in fact the contributions of real sources are observed only. The divergent zero-point energy and zero-point charge appear only at using of the Lagrangians symmetrized under the complex-conjugate field operators, while the standard Lagrangians without such symmetrization lead to the required vanishing vacuum energy. At spontaneous symmetry breaking the vacuum zero-point energy and zero-point charge do not appear only if the remained scalar field is complex one and in this case the Standard Model predicts a pair boson-antiboson with hypercharge.
PACS: 03.70.+k, 11.10.-z, 11.30.Er
Key words: vacuum energy, vacuum fluctuations, Casimir effect, time reversal, charge conjugation, cosmological constant
Vol. 1, No 1, p. 11–27, 22 September 2006.