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001 koha000925690
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007 cr |
008 221214|2022 xxu s a eng d
024 7 _a10.1103/PhysRevD.105.065004
_2doi
035 _akoha000925690
040 _aRU-ToGU
_brus
_cRU-ToGU
100 1 _aKaparulin, Dmitry S.
_9335693
245 1 0 _aWorldsheet of a continuous helicity particle
_cD. S. Kaparulin, S. L. Lyakhovich, I. A. Retuntsev
336 _aТекст
337 _aэлектронный
504 _aБиблиогр.: 41 назв.
520 3 _aWe consider the class of spinning particle theories, whose quantization corresponds to the continuous helicity representation of the Poincare group. The classical trajectories of the particle are shown to lie on the parabolic cylinder with a lightlike axis irrespectively to any specifics of the model. The space-time position of the cylinder is determined by the values of momentum and total angular momentum. The value of helicity determines the focal distance of parabolic cylinder. Assuming that all the world lines lying on one and the same cylinder are connected by gauge transformations, we derive the geometrical equations of motion for the particle. The timelike world paths are shown to be solutions to a single relation involving the invariants of trajectory up to fourth order in derivatives. Geometrical equation of motion is non-Lagrangian, but it admits equivalent variational principle in the extended set of dynamical variables. The lightlike paths are also admissible on the cylinder, but they do not represent the classical trajectories of this spinning particle. The classical trajectories of massless particle (with zero helicity) are shown to lie on hyperplanes, whose space-time position depends on momentum and total angular momentum.
653 _aбезмассовые частицы
653 _aклассические траектории
653 _aПуанкаре группа
653 _aспиральность
653 _aпространственно-временное положение
655 4 _aстатьи в журналах
_9855050
700 1 _aLyakhovich, Simon L.
_989139
700 1 _aRetuntsev, I. A.
_9499698
773 0 _tPhysical Review D
_d2022
_gVol. 105, № 6. P. 065004-1-065004-13
_x2470-0010
852 4 _aRU-ToGU
856 4 _uhttp://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000925690
908 _aстатья
999 _c925690