TL;DR
This paper explores the coupling of Dirac fields with a comprehensive background of torsion and curvature, analyzing the interaction integrability and matter field equation reduction in a detailed gravitational framework.
Contribution
It introduces the most complete coupling scheme for Dirac fields with torsion and curvature, including analysis of interaction integrability and equation reduction.
Findings
Established conditions for interaction integrability.
Derived reduced matter field equations.
Provided a comprehensive coupling framework.
Abstract
In this article we will take into account the most complete back-ground with torsion and curvature, providing the most exhaustive coupling for the Dirac field: we will discuss the integrability of the interaction of the matter field and the reduction of the matter field equations.
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