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Related papers: Physical effects of the Immirzi parameter

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In order to introduce an interaction between gravity and fermions in the Ashtekar-Barbero-Immirzi formalism without affecting classical dynamics a non-minimal term is necessary. The non-minimal term together with the Holst modification to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Simone Mercuri

We introduce a covariant formulation of Barbero-Immirzi connections, which are used in Loop Quantum Gravity to describe gravity. We show that Barbero-Immirzi connections can be uniquely defined out of a given spin connection for any…

Differential Geometry · Mathematics 2021-06-30 Andrea Orizzonte , Lorenzo Fatibene

In four dimensional gravity theory, the Barbero-Immirzi parameter has a topological origin, and can be identified as the coefficient multiplying the Nieh-Yan topological density in the gravity Lagrangian, as proposed by Date et al.[1].…

General Relativity and Quantum Cosmology · Physics 2013-07-29 Sandipan Sengupta

The emergence of loop quantum gravity over the past two decades has stimulated a great resurgence of interest in unifying general relativity and quantum mechanics. Amongst a number of appealing features of this approach are the intuitive…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Charles H. -T. Wang

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…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Meriem-Hadjer Lagraa , Mohammed Lagraa

We perform the coupling of the scalar, Maxwell, and Yang-Mills fields as well as the cosmological constant to BF gravity with Immirzi parameter. The proposed action principles employ auxiliary fields in order to keep a polynomial dependence…

General Relativity and Quantum Cosmology · Physics 2012-09-28 Merced Montesinos , Mercedes Velazquez

In this note, we review the canonical analysis of the Holst action in the time gauge, with a special emphasis on the Hamiltonian equations of motion and the fixation of the Lagrange multipliers. This enables us to identify at the…

General Relativity and Quantum Cosmology · Physics 2014-03-13 Marc Geiller , Karim Noui

We study a parity violating Metric-Affine gravitational theory given by the Einstein-Hilbert action plus the so-called Holst term in vacuum. We find out that for a certain value of the Barbero-Immirzi parameter the total action possesses a…

General Relativity and Quantum Cosmology · Physics 2021-05-21 Damianos Iosifidis , Lucrezia Ravera

Fundamental quantum gravity theories are known to be notoriously difficult to extract viable testable predictions out of. In this paper, we aim to incorporate putative quantum corrections coming from loop quantum gravity in deriving…

General Relativity and Quantum Cosmology · Physics 2017-02-15 Suddhasattwa Brahma , Michele Ronco , Giovanni Amelino-Camelia , Antonino Marciano

In this paper, by making use of the perturbative expansion around topological field theory we are trying to understand why the standard perturbation theory for General Relativity, which starts with linearized gravity does not see…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Kowalski-Glikman , A. Starodubtsev

We propose a novel BF-type formulation of real four-dimensional gravity, which generalizes previous models. In particular, it allows for an arbitrary Immirzi parameter. We also construct the analogue of the Urbantke metric for this model.

General Relativity and Quantum Cosmology · Physics 2010-04-06 R. Capovilla , M. Montesinos , V. A. Prieto , E. Rojas

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

We consider a loop-quantum gravity inspired modification of general relativity, where the Holst action is generalized by making the Barbero-Immirzi (BI) parameter a scalar field, whose value could be dynamically determined. The modified…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Victor Taveras , Nicolas Yunes

In this paper we generalise previous work on tensor perturbations in a de Sitter background in terms of Ashtekar variables to cover all complex values of the Immirzi parameter gamma (previous work was restricted to imaginary gamma).…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Laura Bethke , Joao Magueijo

A generalization of General Relativity is studied. The standard Einstein-Hilbert action is considered in the Palatini formalism, where the connection and the metric are independent variables, and the connection is not symmetric. As a result…

General Relativity and Quantum Cosmology · Physics 2018-03-21 N. V. Kharuk , S. A. Paston , A. A. Sheykin

We revisit a propagating torsion gravity theory obtained by introducing a field coupled to the Holst term in the first-order Einstein-Cartan action. The resulting theory has second order field equations, no adjustable coupling constants,…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Alexander Torres-Gomez , Kirill Krasnov

Working in the first order formalism of gravity, we propose an action that combines the self and anti-self-dual parts of the curvature and comprises all the diffeomorphism invariant Lagrangians that one can consider in this formalism. The…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Javier Chagoya , M. Sabido

We extend the definition of the "flipped" loop-quantum-gravity vertex to the case of a finite Immirzi parameter. We cover the Euclidean as well as the Lorentzian case. We show that the resulting dynamics is defined on a Hilbert space…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan Engle , Etera Livine , Roberto Pereira , Carlo Rovelli

We promote the Immirzi parameter to be a minimally coupled scalar field and we analyzed the Hamiltonian constraints in the framework of Loop Quantum Gravity without the time gauge. Proper SU(2) connections can be defined and a term…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Francesco Cianfrani , Giovanni Montani

We find a nontrivial regime of spinfoam quantum gravity that reproduces classical Einstein equations. This is the double scaling limit of small Immirzi parameter (gamma), large spins (j) with physical area (gamma times j) constant. In…

General Relativity and Quantum Cosmology · Physics 2013-04-30 Elena Magliaro , Claudio Perini