Scale invariant Einstein-Cartan theory in three dimensions

Scale invariant Einstein-Cartan theory in three dimensions

Eur. Phys. J. C 83 (2023)106 We retreat the well-known Einstein-Cartan theory by slightly modifying the covariant derivative of spinor field by investigating double cover of the Lorentz group. We first write the Lagrangian consisting of the Einstein-Hilbert term, Dirac term and a scalar field term i...

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Bibliographic Details
Main Authors: Adak, Muzaffer, Ozdemir, Nese, Sert, Ozcan
Format: Journal Article
Language:English
Published: 21-01-2023
Subjects:
Physics - General Relativity and Quantum Cosmology
Online Access:Get full text
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Summary:Eur. Phys. J. C 83 (2023)106 We retreat the well-known Einstein-Cartan theory by slightly modifying the covariant derivative of spinor field by investigating double cover of the Lorentz group. We first write the Lagrangian consisting of the Einstein-Hilbert term, Dirac term and a scalar field term in a non-Riemannian spacetime with curvature and torsion. Then by solving the affine connection analytically we reformulate the theory in the Riemannian spacetime in a self-consistent way. Finally we discuss our results and give future perspectives on the subject.
DOI:10.48550/arxiv.2212.02917