On-shell consistency of the Rarita-Schwinger field formulation

Abstract

We prove that any bilinear coupling of a massive spin-3/2 field can be brought into a gauge invariant form suggested by Pascalutsa by means of a non-linear field redefinition. The corresponding field transformation is given explicitly in a closed form and the implications for chiral effective field theory with explicit Delta (1232) isobar degrees of freedom are discussed.

9 pages, 1 figure

References in corpus (3)

• Electromagnetic excitation of the Delta(1232)-resonance
• Chiral Perturbation Theory and Baryon Properties
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory

Cited by in corpus (7)

• Nucleon form factors in dispersively improved Chiral Effective Field Theory I: Scalar form factor
• Heavy-particle formalism with Foldy-Wouthuysen representation
• Pion axioproduction: The Delta resonance contribution
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• Gauge- and point-invariant vertices of nucleon-to-resonance interactions
• Photoproduction of the $X(3872)$ beyond vector meson dominance: the open-charm coupled-channel mechanism
• Pion axioproduction revisited