Scale invariant Einstein–Cartan theory in three dimensions

Muzaffer Adak; Nese Ozdemir; Ozcan Sert

doi:10.1140/epjc/s10052-023-11255-x

Scale invariant Einstein–Cartan theory in three dimensions

Muzaffer Adak^*
, Nese Ozdemir
, Ozcan Sert

^*Bu çalışma için yazışmadan sorumlu yazar

Fizik Mühendisliği Bölümü

Istanbul Technical University
Pamukkale University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

2 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 dil	İngilizce
Makale numarası	106
Dergi	European Physical Journal C
Hacim	83
Basın numarası	2
DOI'lar	https://doi.org/10.1140/epjc/s10052-023-11255-x
Yayın durumu	Yayınlandı - 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.

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

Belgeye Erişim

10.1140/epjc/s10052-023-11255-x

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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T1 - Scale invariant Einstein–Cartan theory in three dimensions

AU - Adak, Muzaffer

AU - Ozdemir, Nese

AU - Sert, Ozcan

PY - 2023/2

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85147278459

U2 - 10.1140/epjc/s10052-023-11255-x

DO - 10.1140/epjc/s10052-023-11255-x

M3 - Article

AN - SCOPUS:85147278459

SN - 1434-6044

VL - 83

JO - European Physical Journal C

JF - European Physical Journal C

IS - 2

M1 - 106

ER -

Scale invariant Einstein–Cartan theory in three dimensions

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap