Weinberg propagator of a free massive particle with an arbitrary spin from the BFV-BRST path integral

Abstract

The transition amplitude is obtained for a free massive particle of 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 index spinor. The choice of boundary conditions on the index spinor determines holomorphic or antiholomorphic representation for the canonical description of particle/antiparticle spin.

31 pages, Latex, version published in Class. Quantum Grav

References in corpus (7)

• Superparticle Models with Tensorial Central Charges
• The Superparticle and the Lorentz Group
• Gauge Invariance for Generally Covariant Systems
• N=1 SUPER-P-BRANES in twistor-like Lorentz harmonic formulation
• A Geometric Model of Arbitrary Spin Massive Particle
• Covariant Quantization of d=4 Brink-Schwarz Superparticle with Lorentz Harmonics
• On the BRST Quantization of the Massless Bosonic Particle in Twistor-Like Formulation

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• Uniform Twistor-Like Formulation of Massive and Massless Superparticles with Tensorial Central Charges
• Twistorial superparticle with tensorial central charges