Non-Causal Propagation for Higher-Order Interactions of Torsion with Spinor Fields

TL;DR

This paper investigates the propagation of spinor fields with higher-order torsional interactions, revealing conditions under which their propagation can become non-causal, using the Velo-Zwanziger method.

Contribution

It introduces an analysis of higher-order torsional interactions in spinor fields and demonstrates potential non-causal propagation scenarios.

Findings

Propagation can be non-causal in certain higher-order torsional interaction cases

The Velo-Zwanziger method effectively identifies non-causal behavior

Higher-order torsion impacts the causal structure of spinor field equations

Abstract

We consider field equations of spinors with torsional interactions having higher-order dimension: by applying the Velo-Zwanziger method, we obtain that it is always possible to find situations where the propagation is affected by non-causal behaviour.