Consistence between pion-nucleon-delta spin-3/2 gauge couplings and electromagnetic gauge invariance

D. BADAGNANI; C. BARBERO; A. MARIANO

JOURNAL OF PHYSICS G. NUCLEAR PHYSICS

IOP Science

Año: 2015 vol. 42 p. 125001 - 125016

0305-4616

We review the consistence between the recently proposed spin-3/2 gauge interaction forthe Delta resonance with nucleons (N) and pions (Pi), and the fundamental electromagnetic gauge invariance in any radiative amplitude. We show that: i) the electromagneticinteraction introduced through minimal substitution in all derivatives breaks the spin-3/2 gauge invariance; ii) radiative corrections (not in general zero for any effectiveLagrangian theory) of the spin-3/2 gauge strong vertexes at one loop, reintroducethe conventional derivative interaction.