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

^*Corresponding author for this work

Department of Physics Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Article number	106
Journal	European Physical Journal C
Volume	83
Issue number	2
DOIs	https://doi.org/10.1140/epjc/s10052-023-11255-x
Publication status	Published - Feb 2023

Bibliographical note

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

Funding

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.

Funders	Funder number
Department of Engineering Physics, University of Wisconsin-Madison
Istanbul Teknik Üniversitesi

Access to Document

10.1140/epjc/s10052-023-11255-x

Cite this

@article{87fc9c453b374f2983e7a1f0a8e5625d,

title = "Scale invariant Einstein–Cartan theory in three dimensions",

abstract = "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.",

author = "Muzaffer Adak and Nese Ozdemir and Ozcan Sert",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s).",

year = "2023",

month = feb,

doi = "10.1140/epjc/s10052-023-11255-x",

language = "English",

volume = "83",

journal = "European Physical Journal C",

issn = "1434-6044",

publisher = "Institute for Ionics",

number = "2",

}

TY - JOUR

T1 - Scale invariant Einstein–Cartan theory in three dimensions

AU - Adak, Muzaffer

AU - Ozdemir, Nese

AU - Sert, Ozcan

PY - 2023/2

Y1 - 2023/2

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 - http://www.scopus.com/inward/record.url?scp=85147278459&partnerID=8YFLogxK

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

Abstract

Bibliographical note

Funding

Access to Document

Other files and links

Fingerprint

Cite this