DOI: https://doi.org/10.30970/jps.03.25
WEINBERG PROPAGATOR OF A MASSIVE PARTICLE WITH AN ARBITRARY SPIN
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Journal of Physical Studies 3(1), 25–32 (1999)
DOI: https://doi.org/10.30970/jps.03.25 WEINBERG PROPAGATOR OF A MASSIVE PARTICLE WITH AN ARBITRARY SPIN |
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V. G. Zima1, S. O. Fedoruk2
1Kharkiv State University,
4 Svoboda Sq., Kharkiv, UA-310077, Ukraine
e-mail: zima@postmaster.co.uk
2Ukrainian Engineering-Pedagogical Academy,
16 Universytetska Str., Kharkiv, UA-310003, Ukraine
e-mail: fed@postmaster.co.uk
The transition amplitude is obtained for a free massive particle of an arbitrary spin by calculating the path integral in the index–spinor formulation within the BFV–BRST approach. None renormalizations of the path integral measure were applied. The calculation has given the Weinberg propagator written in the index–free form with the use of an index spinor. The choice of boundary conditions on the index spinor determines holomorphic or antiholomorphic representation for the canonical description of particle/antiparticle spin.