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14

Rotatory quantization of charge-conjugation symmetric systems.

3. Relativistic fields.

Zahid Zakir [1]

Abstract    

Quantum theory of complex fields with rotational modes based on a harmonic rotator model is constructed. For purely rotational modes the energy spectrum is equidistant, observables are automatically normal-ordered and there is no zero-point vacuum energy and zero-point charge. Frequencies of quanta are angular speeds of rotating field vectors (in real or field spaces). States of two signs of the helicity (particle-antiparticle) are related through the crossing symmetry. The well-known examples are photon field with circular polarization and complex fields. The spin and isospins of particles appear as related to their frequencies, representing angular momenta of rotations of field vectors with these frequencies. It is shown that the standard covariant perturbation theory is constructed in fact for description on the basis of harmonic rotators, where the recipe of transition from oscillatory to the rotatory representations of modes earlier it has been found empirically as normal-ordering of operators. The vacuum energy vanishes for free Hamiltonians and C-symmetric interactions.

PACS: 03.70. +k, 11.30.Er

Key words: quantization of fields, charge conjugation, parity, vacuum energy

Vol. 6, No 3, p. 48 – 63, v1,  14 December 2011

Online: TPAC: 4000-023 v2,  28 September 2012; DOI: 10.9751/TPAC.4000-023


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

      zahidzakir@theor-phys.org

3 Responses to “TPAC: 4000-023 v2, Vol. 6, p. 48–63”

  1. Zahid Zakir
    October 10th, 2012 at 03:24 | #1

    1. New result:
    Quantum theory of complex fields with rotational modes based on a harmonic rotator model is constructed. For purely rotational modes the energy spectrum is equidistant, observables are automatically normal-ordered and there is no zero-point vacuum energy and zero-point charge.
    Frequencies of quanta are angular speeds of rotating field vectors (in real or field spaces).
    States of two signs of the helicity (particle-antiparticle) are related through the crossing symmetry.
    The well-known examples are photon field with circular polarization and complex fields.

  2. Zahid Zakir
    October 10th, 2012 at 03:24 | #2

    2. New result:
    The spin and isospins of particles appear as related to their frequencies, representing angular momenta of rotations of field vectors with these frequencies.

  3. Zahid Zakir
    October 10th, 2012 at 03:26 | #3

    3. New result:
    It is shown that the standard covariant perturbation theory is constructed in fact for description on the basis of harmonic rotators, where the recipe of transition from oscillatory to the rotatory representations of modes earlier it has been found empirically as normal-ordering of operators. The vacuum energy vanishes for free Hamiltonians and C-symmetric interactions.

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