Carroll-Field-Jackiw term in a massless Rarita-Schwinger model
M. Gomes, J. G. Lima, T. Mariz, J. R. Nascimento, A. Yu. Petrov
TL;DR
This paper investigates the Carroll-Field-Jackiw term in a massless Rarita-Schwinger Lorentz-violating QED, finding it to be finite and ambiguous, with gauge independence achieved only in a specific nonlinear gauge scheme.
Contribution
It introduces a gauge fixing method for the massless Rarita-Schwinger model and analyzes the Carroll-Field-Jackiw term's finiteness, ambiguity, and gauge dependence.
Findings
The Carroll-Field-Jackiw term is finite.
The term's value is ambiguous.
Gauge independence is achieved only in a nonlinear gauge scheme.
Abstract
We consider the massless Rarita-Schwinger (RS) LV QED. In this theory, we introduce the gauge fixing to obtain the propagator for the RS field, and calculate the Carroll-Field-Jackiw term, which turns out to be finite and ambiguous, and only in one calculation scheme, based on the nonlinear gauge framework, the gauge independence of the result is achieved.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Gas Dynamics and Kinetic Theory