Sep
22

Tи CPsymmetric quantization of fields without zero-point energy

Zahid Zakir [1]

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

Vol. 1, No 1 ,  p. 11 – 27, v1,   22 September 2006

Online: TPAC: 2091-002 v2,   28 September 2012; DOI: 10.9751/TPAC.2091-002


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

      zahidzakir@theor-phys.org

8 Responses to “TPAC: 2091-002 v2, Vol. 1, p. 11–27”

  1. Zahid Zakir
    October 8th, 2012 at 15:34 | #1

    1. New result:
    The standard replacement of negatively-frequency operators of relativistic fields to operators of antiparticles leads to incomplete time-reversal in field’s observables.

  2. Zahid Zakir
    October 8th, 2012 at 15:35 | #2

    2. New result:
    In fact, a correct transition to the operators of antiparticles occurs only at a full CPT-transformation of matrix elements.

  3. Zahid Zakir
    October 8th, 2012 at 15:43 | #3

    3. New result:
    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.

  4. Zahid Zakir
    October 8th, 2012 at 15:45 | #4

    4. New result:
    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.

  5. Zahid Zakir
    October 8th, 2012 at 15:46 | #5

    5. New result:
    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 boson-antiboson pair with hypercharge.

  6. Zahid Zakir
    October 8th, 2012 at 17:45 | #6

    6. New result:
    In the standard treatment of QFT it has been postulated a direct identification of the negative-frequency operators in field operators by positive-frequency operators of charge-conjugate particles, i.e. antiparticles, and then the exclusion of the negative-frequency operators has been supposed to be completed.
    For the minimal Lagrangian (3) this leads to a paradoxical result that for obeying the charge conjugation symmetry conditions the creation-annihilation operators should commutate. This means that the standard identification of the different frequency sign operators in (28) contradicts to the C-invariance of the theory and, therefore, is inadmissible.
    It is shown,that this paradox can be solved at more accurate elimination of the negative frequency operators so that the zero-point energy and the zero-point charge do not arise due to the symmetry properties.

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