Посилання:Transition amplitude for free massless particle / V.G. Zima, S.A. Fedoruk // Вопросы атомной науки и техники. — 2001. — № 6. — С. 53-59. — Бібліогр.: 8 назв. — англ.
Підтримка:This work was supported in part by INTAS Grant INTAS-2000-254 and by the Ukrainian National Found of Fundamental Researches under the Project № 02.07/383. We would like to thank I.A. Bandos, A. Frydryszak, E.A. Ivanov, S.O. Krivonos, J. Lukierski,
A.J. Nurmagambetov and D.P. Sorokin for interest to the work and for many useful discussions.
The propagator for massless particle of arbitrary spin is represented as BFV-BRST path integral in index spinor formalism. The classical formulation of the theory is investigated and it is carried out its Hamiltonization procedure. The structure functions are obtained. The BRST-charge of the model is calculated and it is shown, that it has the first rank. The expression for transition amplitude is transformed to the form of amplitude for a system with only the first class constraints. It is shown, that complexification of some phase variable results in the Gupta-Bleuler formalism. In these frameworks it is considered quantization procedure.