Summary
The canonical quantization of a spin-3/2 field is considered. Using Lehmann’s representation, sum rules are derived connecting the spectral functions with the mass and renormalized constant, assuming that the interaction Lagrangian does not violate the Rarita-Schwinger subsidiary conditions and the current commutes with the field. Considering the inverse Green’s function a 1/m mass formula is obtained. The result is armlied to the decpnlet of snin-3/2 resonances.
Riassunto
Si considéra la quantizzazione canonica di un campo di spin 3/2. Servendosi della rappresentazione di Lehmann si derivano regole di somma che oollegano le funzioni spettrali con la costante di massa rinormalizzata, purché il lagrangiano d’intersezione non violi le eondizioni sussidiarie di Rarita-Schwinger e la corrente commuti col campo. Considerando la funzione di Green inversa si ottiene per la massa una formula in 1/m. I1 risultato si applica al decupletto di risonanze di spin 3/2.
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References
M. Gell-Mann: CTSL-20 (1961);S. Okubo:Prog. Theor. Phys.,27, 949 (1962).
K. Johnson:Nucl. Phys.,25, 435 (1961).
W. Kabita andJ. Schwinger:Phys. Rev.,60, 61 (1941).Y. Takahashi andH. Umezawa:Prog. Theor. Phys.,9, 1 (1953).
P. Leruste and P. Kessleb:Cahiers de Physique (to be published).
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Corresponding Fellow at CERN (Summer 1964).
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Galindo, A., Hadjioannou, P. & Pasoual, P. Spectral representation and mass formula for spin-3/2 particles. Nuovo Cim 36, 848–856 (1965). https://doi.org/10.1007/BF02749786
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DOI: https://doi.org/10.1007/BF02749786