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Projective symmetries and induced electromagnetism in metric-affine gravity
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abstract
We present a framework in which the projective symmetry of the Einstein-Hilbert action in metric-affine gravity is used to induce an effective coupling between the Dirac lagrangian and the Maxwell field. The effective $U(1)$ gauge potential arises as the trace of the non-metricity tensor $Q_{\mu a}{}^a$ and couples in the appropriate way to the Dirac fields to in order to allow for local phase shifts. On shell, the obtained theory is equivalent to Einstein-Cartan-Maxwell theory in presence of Dirac spinors.
Forward citations
Cited by 2 Pith papers
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Light propagation and intensity transport in metric-affine geometry
Electromagnetic sectors built from projectively invariant torsion and non-metricity can modify light cones, intensity transport, and polarization structure in geometric optics.
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Chiral Transport in Metric-Affine Geometries
Derives nonmetricity-mediated chiral separation effects for axial currents in equilibrium fermionic fluids using anomaly descent and transgression techniques.
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