Abstract
Barut's classical model of the spinning particle having external dynamical variables x and p and internal dynamical variables \(\bar z\) and z is taken into account. The path integrations over holomorphic spinors \(\bar z\) and z are discussed. This quantization gives the kernel of the relativistic particles with higher spin as well as the Dirac electron. The Green's function of the spin-n/2 particle is obtained.
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Ünal, N. Path Integral Quantization of a Spinning Particle. Foundations of Physics 28, 755–762 (1998). https://doi.org/10.1023/A:1018897719975
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DOI: https://doi.org/10.1023/A:1018897719975