Analysis of a gauged model with a spin-$\frac{1}{2}$ field directly coupled to a Rarita-Schwinger spin-$\frac{3}{2}$ field

Abstract

We give a detailed analysis of an abelianized gauge field model in which a Rarita-Schwinger spin-$\frac{3}{2}$ field is directly coupled to a spin-$\frac{1}{2}$ field. The model permits a perturbative expansion in powers of the gauge field coupling, and from the Feynman rules for the model we calculate the chiral anomaly.

Latex, 32 pages; v2 has corrected mode counting and many edits, v3 has minor edits, v4 has additions to the end of Sec. 2 and to item 4. in Sec. 14

References in corpus (5)

• New Developments in FeynCalc 9.0
• SU(8) family unification with boson-fermion balance
• Canonical Field Anticommutators in the Extended Gauged Rarita-Schwinger Theory
• Coleman-Weinberg symmetry breaking in $SU(8)$ induced by a third rank antisymmetric tensor scalar field
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• Chiral Anomaly Calculation in the Extended Coupled Rarita-Schwinger Mode
• Gravitational chiral anomaly and anomalous transport for fields with spin 3/2
• Gravitational chiral anomaly for spin 3/2 field interacting with spin 1/2 field
• Non-Abelian Carroll-Field-Jackiw term term in a Rarita-Schwinger model
• Chiral separation effect for spin 3/2 fermions
• Analysis of an $SU(8)$ model with a spin-$\frac{1}{2}$ field directly coupled to a gauged Rarita-Schwinger spin-$\frac{3}{2}$ field
• Free field structure of the model with a spin-$\frac{3}{2}$ Rarita-Schwinger field directly coupled to a spin-$\frac{1}{2}$ field
• Carroll-Field-Jackiw term in a massless Rarita-Schwinger model