Quantization of an interacting spin-3/2 field and the Delta isobar

Details Quantization of an interacting spin-3/2 field and the Delta isobar Quantization of an interacting spin-3/2 field and the Delta isobar

1998-02-10

arxiv.org/abs/hep-ph/9802288v2

Phys.Rev. D58 (1998) 096002

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, published version

Scientific paper

10.1103/PhysRevD.58.096002

Quantization of the free and interacting Rarita-Schwinger field is considered using the Hamiltonian path-integral formulation. The particular interaction we study in detail is the $\pi N \De$ coupling used in the phenomenology of the pion-nucleon and nucleon-nucleon systems. Within the Dirac constraint analysis, we show that there is an excess of degrees of freedom in the model, as well as the inconsistency related to the Johnson-Sudarshan-Velo-Zwanzinger problem. It is further suggested that couplings invariant under the gauge transformation of the Rarita-Schwinger field are generally free from these inconsistencies. We then construct and briefly analyse some lowest in derivatives gauge-invariant $\pi N \De$ couplings.

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