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.

arXiv comment9 pages, 1 figure

References in corpus (9)

• Electromagnetic excitation of the Delta(1232)-resonance
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• Chiral Perturbation Theory and Baryon Properties
• Quantization of an interacting spin-3/2 field and the Delta isobar
• Correspondence of consistent and inconsistent spin-3/2 couplings via the equivalence theorem
• Pion-nucleon scattering in an effective chiral field theory with explicit spin-3/2 fields
• Redundance of $\Delta$-isobar Parameters in Effective Field Theories
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory
• Pion-Nucleon Scattering at Low Energies

Cited by in corpus (20)

• The chiral representation of the $\pi N$ scattering amplitude and the pion-nucleon sigma term
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• New insights into the spin structure of the nucleon
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Redundancy of the off-shell parameters in chiral effective field theory with explicit spin-3/2 degrees of freedom
• Nucleon form factors in dispersively improved Chiral Effective Field Theory I: Scalar form factor
• Nucleon form factors in dispersively improved Chiral Effective Field Theory II: Electromagnetic form factors
• Peripheral transverse densities of the baryon octet from chiral effective field theory and dispersion analysis
• Heavy-particle formalism with Foldy-Wouthuysen representation
• Spin-5/2 fields in hadron physics
• Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances
• On a gauge-invariant interaction of spin-$\fth$ resonances
• Pion axioproduction: The Delta resonance contribution
• Pure spin-3/2 representation with consistent interactions
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• Nucleon polarizabilities in covariant baryon chiral perturbation theory with explicit $\Delta$ degrees of freedom
• Mass and width of the $\Delta (1232)$ resonance using complex-mass renormalization
• 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