Summary
If one uses the superspace techniques of Salam and Strathdee, a new supersymmetric Lagrangian involving Dirac and Duffin-Kemmer component fields is obtained. A simple interaction Lagrangian of this spinor superfield with the scalar superfield is studied in perturbation theory, where it is shown that although the Lagrangian is not renormalizable at the 1-loop level, remarkable cancellations of divergences occur leaving only logarithmic and quadratic infinities.
Riassunto
Servendosi delle tecniche dei superspazi di Salam e Strathdee si perviene a un nuovo lagrangiano supersimmetrico che coinvolge i campi componenti di Dirac e di Duffin-Kemmer. Si studia un semplice lagrangiano di interazione fra questo supercampo spinoriale e il supercampo scalare nell’ambito della teoria delle perturbazioni, in cui si dimostra che, benché il lagrangiano non sia rinormalizzabile al livello di 1 cappio, si hanno notevoli cancellazioni di divergenze che laseiano solo infiniti logaritmici e quadratici.
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Adjei, S.A., Akyeampong, D.A. The spinor superfield and Bose-fermi symmetry. Nuov Cim A 26, 84–93 (1975). https://doi.org/10.1007/BF02849601
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DOI: https://doi.org/10.1007/BF02849601