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We investigate the consequences of the ambiguity of minimal coupling procedure for Einstein-Cartan gravity with Holst term and fermions. A new insight is provided into the nature and physical relevance of coupling procedures considered…

广义相对论与量子宇宙学 · 物理学 2009-12-11 Marcin Kaźmierczak

The minimal coupling procedure, which is employed in standard Yang-Mills theories, appears to be ambiguous in the case of gravity. We propose a slight modification of this procedure, which removes the ambiguity. Our modification justifies…

广义相对论与量子宇宙学 · 物理学 2009-08-03 Marcin Kaźmierczak

The gauge approach to the theory of gravity has been widely discussed as an alternative to standard general relativity. The Poincar{\'e} group, as a symmetry group of all relativistic theories in the absence of gravitation, constitutes the…

广义相对论与量子宇宙学 · 物理学 2013-05-29 Marcin Kaźmierczak

From the freedom exhibited by the generalized Einstein action proposed in [1], we show that we can construct the standard effective Einstein-Cartan action coupled to the fermionic matter without the usual current-current interaction and…

广义相对论与量子宇宙学 · 物理学 2010-04-21 Meriem-Hadjer Lagraa , Mohammed Lagraa

It is well-known since the works of Utiyama and Kibble that the gravitational force can be obtained by gauging the Poincar\'e group, which puts gravity on the same footing as the Standard Model fields. The resulting theory --…

高能物理 - 唯象学 · 物理学 2021-10-25 Mikhail Shaposhnikov , Andrey Shkerin , Inar Timiryasov , Sebastian Zell

We study scalar, fermionic and gauge fields coupled nonminimally to gravity in the Einstein-Cartan formulation. We construct a wide class of models with nondynamical torsion whose gravitational spectra comprise only the massless graviton.…

高能物理 - 理论 · 物理学 2021-09-22 Georgios K. Karananas , Mikhail Shaposhnikov , Andrey Shkerin , Sebastian Zell

In the standard Einstein-Cartan theory(EC), matter fields couple to gravitation field through the Minimal Coupling Procedure(MCP), yet leaving the theory an ambiguity: applying MCP to the action or to the equation of motion would lead to…

广义相对论与量子宇宙学 · 物理学 2019-12-09 Zi-Wei Chen , Run Diao , Xiang-Song Chen

Fermions are coupled to the Einstein-Cartan system in the canonical formulation, including the cosmological, the Barbero-Immirzi, and the non-minimal coupling constants. The resulting ten first-class constraints generate gauge…

广义相对论与量子宇宙学 · 物理学 2025-12-02 Erick I. Duque

We investigate the quantum effects of the non-minimal matter-gravity couplings derived by Cangemi and Jackiw in the realm of a specific fermionic theory, namely the abelian Thirring model on a Riemann surface of genus zero and one. The…

高能物理 - 理论 · 物理学 2016-09-06 L. Griguolo , D. Seminara

We investigate some cosmological models arising from a non-minimal coupling of a fermionic field to gravity in the geometrical setting of Einstein-Cartan-Sciama-Kibble gravity. The role played by the non-minimal coupling together with…

广义相对论与量子宇宙学 · 物理学 2015-03-05 Stefano Vignolo , Sante Carloni , Luca Fabbri

We study gravity coupled to scalar and fermion fields in the Einstein-Cartan framework. We discuss the most general form of the action that contains terms of mass dimension not bigger than four, leaving out only contributions quadratic in…

高能物理 - 理论 · 物理学 2021-08-17 Mikhail Shaposhnikov , Andrey Shkerin , Inar Timiryasov , Sebastian Zell

There are various generalizations of Einstein's theory of gravity (GR); one of which is the Einstein-Cartan (EC) theory. It modifies the geometrical structure of manifold and relaxes the notion of affine connection being symmetric. The…

广义相对论与量子宇宙学 · 物理学 2018-04-04 Swanand Khanapurkar

It is well known that only the axial piece of the torsion couples minimally to fermions in a Riemann-Cartan geometry, while the other ones decouple. In this paper, we consider the Dirac field minimally coupled to a dynamical background with…

广义相对论与量子宇宙学 · 物理学 2022-02-28 J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio

We consider a generalized Einstein-Cartan theory, in which we add the unique covariant dimension four operators to general relativity that couples fermionic spin current to the torsion tensor (with an arbitrary strength). Since torsion is…

广义相对论与量子宇宙学 · 物理学 2017-11-01 Stefano Lucat , Tomislav Prokopec

In this paper, we have considered the g-essence and its particular cases, k-essence and f-essence, within the framework of the Einstein-Cartan theory. We have shown that a single fermionic field can give rise to the accelerated expansion…

宇宙学与河外天体物理 · 物理学 2011-12-13 Olga Razina , Yerlan Myrzakulov , Nurzhan Serikbayev , Gulgasyl Nugmanova , Ratbay Myrzakulov

The USMEG-EFT framework~\cite{ChishtieEFT2025,ChishtieBreakdown2023} provides systematic quantum gravity through with 4D General Relativity (GR) achieving Standard Model-gravity unification. This work examines Einstein-Cartan theory against…

综合物理 · 物理学 2025-09-12 Farrukh A. Chishtie

Einstein-Cartan theory is an extension of the standard formulation of General Relativity where torsion (the antisymmetric part of the affine connection) is non-vanishing. Just as the space-time metric is sourced by the stress-energy tensor…

广义相对论与量子宇宙学 · 物理学 2019-12-30 Francisco Cabral , Francisco S. N. Lobo , Diego Rubiera-Garcia

We derive the dynamics of the gravitational collapse of a homogeneous and spherically symmetric cloud in a classical set-up endowed with a topological sector of gravity and a non-minimal coupling to fermions. The effective theory consists…

广义相对论与量子宇宙学 · 物理学 2014-05-27 Cosimo Bambi , Daniele Malafarina , Antonino Marciano , Leonardo Modesto

In the Einstein-Cartan theory of torsion-free gravity coupling to massless fermions, the four-fermion interaction is induced and its strength is a function of the gravitational and gauge couplings, as well as the Immirzi parameter. We study…

高能物理 - 理论 · 物理学 2008-11-26 She-Sheng Xue

Fermions coupled to Yang-Mills matrix models are studied from the point of view of emergent gravity. We show that the simple matrix model action provides an appropriate coupling for fermions to gravity, albeit with a non-standard spin…

高能物理 - 理论 · 物理学 2009-12-10 Daniela Klammer , Harold Steinacker
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