# Analysis of a gauged model with a spin-12 field directly coupled to a Rarita-Schwinger spin-32 field

@article{Adler2018AnalysisOA, title={Analysis of a gauged model with a spin-12 field directly coupled to a Rarita-Schwinger spin-32 field}, author={Stephen L. Adler}, journal={Physical Review D}, year={2018}, volume={97} }

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.

## 6 Citations

### Free field structure of the model with a spin-32 Rarita-Schwinger field directly coupled to a spin-12 field

- PhysicsJournal of Mathematical Physics
- 2018

In earlier work we introduced an abelianized gauge field model in which a Rarita-Schwinger field is directly coupled to a spin-12 field, and showed that this model admits a perturbative expansion in…

### Analysis of an SU(8) model with a spin-1 2 field directly coupled to a gauged Rarita–Schwinger spin-3 2 field

- Physics
- 2019

In earlier work we analyzed an abelianized model in which a gauged Rarita-Schwinger spin-$\frac{3}{2}$ field is directly coupled to a spin-$\frac{1}{2}$ field. Here we extend this analysis to the…

### Chiral anomaly calculation in the extended coupled Rarita-Schwinger model

- PhysicsPhysical Review D
- 2019

We recalculate the chiral anomaly in the Abelian gauge model in which a spin-$\frac{1}{2}$ field is directly coupled to a Rarita-Schwinger spin-$\frac{3}{2}$ field, using the extended theory in which…

### Gravitational chiral anomaly for spin 3/2 field interacting with spin 1/2 field

- Physics
- 2022

The gravitational chiral quantum anomaly is calculated in the framework of the extended Rarita-Schwinger-Adler (RSA) ﬁeld theory, which includes the interaction with an additional spin 1/2 ﬁeld. It…

### Chiral vortical effect in extended Rarita-Schwinger field theory and chiral anomaly

- PhysicsPhysical Review D
- 2022

We consider the theory of Rarita-Schwinger field interacting with a field with spin 1/2, in the case of finite temperature, chemical potential and vorticity, and calculate the chiral vortical effect…

### Hydrodynamic manifestation of gravitational chiral anomaly

- Physics
- 2022

Gravitational chiral anomaly induces the universal transport phenomenon (Kinematical Vortical Eﬀect) dependent solely on medium vorticity and acceleration but (explicitly) independent on its…

## References

SHOWING 1-10 OF 42 REFERENCES

### Quantized Gauged Massless Rarita-Schwinger Fields

- Physics
- 2015

We study quantization of a minimally gauged massless Rarita-Schwinger field, by both Dirac bracket and functional integral methods. The Dirac bracket approach in covariant radiation gauge leads to an…

### Classical Gauged Massless Rarita-Schwinger Fields

- Physics
- 2015

We show that, in contrast to known results in the massive case, a minimally gauged massless Rarita-Schwinger field yields a consistent classical theory, with a generalized fermionic gauge invariance…

### Canonical Field Anticommutators in the Extended Gauged Rarita-Schwinger Theory

- Physics
- 2017

We reexamine canonical quantization of the gauged Rarita-Schwinger theory using the extended theory, incorporating a dimension $\frac{1}{2}$ auxiliary spin-$\frac{1}{2}$ field $\Lambda$, in which…

### Axial vector vertex in spinor electrodynamics

- Physics
- 1969

Working within the framework of perturbation theory, we show that the axial-vector vertex in spinor electrodynamics has anomalous properties which disagree with those found by the formal manipulation…

### PROPAGATION AND QUANTIZATION OF RARITA--SCHWINGER WAVES IN AN EXTERNAL ELECTROMAGNETIC POTENTIAL.

- Physics
- 1969

The Rarita-Schwinger equation in an external electromagnetic potential is shown to be equivalent to a hyperbolic system of partial differential equations supplemented by initial conditions. The wave…