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Related papers: Origin of the Immirzi Parameter

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Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space. The relevant models in 3…

Differential Geometry · Mathematics 2009-08-03 Derek K. Wise

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.…

High Energy Physics - Theory · Physics 2021-09-22 Georgios K. Karananas , Mikhail Shaposhnikov , Andrey Shkerin , Sebastian Zell

Recently a class of alternative theories of gravity which goes under the name f(R) gravity, has received considerable attention, mainly due to its interesting applications in cosmology. However, the phenomenology of such theories is not…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas P. Sotiriou , Stefano Liberati

We show the exact equality of the path integral of the general renormalizable fourth order gravitational action to the path integral of the Einstein action coupled to a massive spin-0 field and a massive spin-2 ghost-like field with…

High Energy Physics - Theory · Physics 2009-10-30 E. T. Tomboulis

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…

General Relativity and Quantum Cosmology · Physics 2009-12-11 Marcin Kaźmierczak

We treat the semiclassical Einstein equation as a quantum-classical hybrid and demonstrate the formal equivalence of its two derivation methods. This approach identifies the left-hand side of the equation as the expectation value of the…

General Relativity and Quantum Cosmology · Physics 2024-12-25 Daniel R. Terno

Spherical reduction of generic four-dimensional theories is revisited. Three different notions of "spherical symmetry" are defined. The following sectors are investigated: Einstein-Cartan theory, spinors, (non-)abelian gauge fields and…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Herbert Balasin , Christian G. Boehmer , Daniel Grumiller

In this paper, the hybrid metric-Palatini gravity is an approach to modified gravity in which is added to the usual Einstein-Hilbert action a supplementary term containing a Palatini-type correction of the form $f({\cal R},T)$. Here, ${\cal…

General Relativity and Quantum Cosmology · Physics 2022-03-30 J. S. Gonçalves , A. F. Santos

The Immirzi parameter is promoted to be a scalar field and the Hamiltonian analysis of the corresponding dynamical system is performed in the presence of gravity. We identified some SU(2) connections, generalizing Ashtekar-Barbero…

General Relativity and Quantum Cosmology · Physics 2016-09-14 Flavio Bombacigno , Francesco Cianfrani , Giovanni Montani

Treating the gravitational force on the same footing as the electroweak and strong forces, we present a quantum field theory of gravity based on spin and scaling gauge symmetries. A biframe spacetime is initiated to describe such a quantum…

High Energy Physics - Theory · Physics 2016-01-20 Yue-Liang Wu

Two-spinor formalism for Einstein Lagrangian is developed. The gravitational field is regarded as a composite object derived from soldering forms. Our formalism is geometrically and globally well-defined and may be used in virtually any…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marco Godina , Paolo Matteucci , Lorenzo Fatibene , Mauro Francaviglia

Holst action containing Immirzi parameter for pure gravity is generalised to the supergravity theories. Supergravity equations of motion are not modified by such generalisations, thus preserving supersymmetry. Dependence on the Immirzi…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Romesh K. Kaul

We consider the general scalar-tensor gravity without derivative couplings. By rescaling of the metric and reparametrization of the scalar field, the theory can be presented in different conformal frames and parametrizations. In this work…

General Relativity and Quantum Cosmology · Physics 2015-02-02 Laur Jarv , Piret Kuusk , Margus Saal , Ott Vilson

In a classical theory of gravity, the Barbero-Immirzi parameter ($\eta$) appears as a topological coupling constant through the Lagrangian density containing the Hilbert-Palatini term and the Nieh-Yan invariant. In a quantum framework, the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Sandipan Sengupta

We study the generalised constrained BF theory described in gr-qc/0102073 in order to introduce the Immirzi parameter in spin foam models. We show that the resulting spin foam model is still based on simple representations and that the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Richard E. Livine

We propose a gauge theory of gravitation. The gauge potential is a connection of the Super SL(2,C) group. A MacDowell-Mansouri type of action is proposed where the action is quadratic in the Super SL(2,C) curvature and depends purely on…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Roh Suan Tung

A new direction to understand gravity has recently been explored by considering classical gravity to be a derived interaction from an underlying theory. This underlying theory would involve new degrees of freedom at a deeper level and it…

General Physics · Physics 2014-03-10 Yuan K. Ha

We present two scale invariant models of inflation in which the addition of quadratic in curvature terms in the usual Einstein-Hilbert action, in the context of Palatini formulation of gravity, manages to reduce the value of the…

General Relativity and Quantum Cosmology · Physics 2021-07-12 Ioannis D. Gialamas , Alexandros Karam , Thomas D. Pappas , Antonio Racioppi , Vassilis C. Spanos

We propose a Lorentz-covariant Yang-Mills ``spin-gauge'' theory, where the function valued Pauli matrices play the role of a non-scalar Higgs-field. As symmetry group we choose $SU(2) \times U(1)$ of the 2-spinors describing…

General Relativity and Quantum Cosmology · Physics 2008-11-26 H. Dehnen , E. Hitzer

An approach to the quantization of gravity in the presence matter is examined which starts from the classical Einstein-Hilbert action and matter approximated by "point" particles minimally coupled to the metric. Upon quantization, the…

General Physics · Physics 2022-05-24 Matej Pavšič
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