Scale invariant Einstein–Cartan theory in three dimensions

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...

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Bibliographic Details
Published in:	The European physical journal. C, Particles and fields Vol. 83; no. 2; pp. 106 - 9
Main Authors:	Adak, Muzaffer, Ozdemir, Nese, Sert, Ozcan
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-02-2023 Springer Springer Nature B.V SpringerOpen
Subjects:	Algebra Astronomy Astrophysics and Cosmology Elementary Particles Gravitational waves Hadrons Heavy Ions Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Regular Article - Theoretical Physics Relativity Scalars Spacetime String Theory
Online Access:	Get full text
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Summary:	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.
ISSN:	1434-6052 1434-6044 1434-6052
DOI:	10.1140/epjc/s10052-023-11255-x