Canonical quantization of spin-3/2 particle

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SUMMARY

The discussion focuses on the canonical quantization of spin-3/2 particles, particularly in the context of calculating the decay of excited nucleons. The use of Clebsch-Gordan (CG) coefficients is highlighted as a method for handling the complexities of the spin-3/2 field operator. The conversation emphasizes the need for a synthesis between vector and spinor particles, and the complications arising from the expansion of the original field operator in momentum space into annihilation and creation operators. References to Luri's book and relevant papers provide additional resources for understanding these advanced concepts.

PREREQUISITES
  • Understanding of canonical quantization principles
  • Familiarity with Clebsch-Gordan coefficients
  • Knowledge of spinor and vector particle theory
  • Proficiency in quantum field theory
NEXT STEPS
  • Study the application of Clebsch-Gordan coefficients in quantum mechanics
  • Research the expansion of field operators in momentum space
  • Explore Luri's book for insights on spin-3/2 particles
  • Examine established works on the summation rules of polarization vectors and Dirac spinors
USEFUL FOR

Physicists, quantum field theorists, and researchers working on particle decay processes and spin-3/2 particle quantization.

zhangyang
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If I want to calculate a decay of excited nucleons,sometimes I must treat the spin 3/2 field operator.
If I use CG coefficient method, for example
http://arxiv.org/abs/hep-ph/0210164 (page 3,the third equation)

But it is a result,not the starting.The thought looks like a synthesis between a vector particle and a spinor one.But how about the expension of original field operator in momentum space into annihilation and creation operators?We will see a direct product of two ladder operator?But the CG coefficient must has its status,so the summation rule of polarization vector and Dirac spinor must be very complicated,is there any established work?
 

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