Scale invariant Einstein–Cartan theory in three dimensions

Muzaffer Adak*, Nese Ozdemir, Ozcan Sert

*Bu çalışma için yazışmadan sorumlu yazar

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1 Atıf (Scopus)

Özet

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.

Orijinal dilİngilizce
Makale numarası106
DergiEuropean Physical Journal C
Hacim83
Basın numarası2
DOI'lar
Yayın durumuYayınlandı - Şub 2023

Bibliyografik not

Publisher Copyright:
© 2023, The Author(s).

Finansman

One of the authors (MA) stays at Istanbul Technical University (ITU) via a sabbatical leave and thanks the Department of Physics Engineering, ITU for warm hospitality. He also thanks Tekin Dereli, Yorgo Senikoglu and Cem Yetismisoglu for enlightening conversations. We thank to the anonymous referee for his/her guiding questions and criticisms.

FinansörlerFinansör numarası
Department of Engineering Physics, University of Wisconsin-Madison
Istanbul Teknik Üniversitesi

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