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Chern-Simons models for gravity are interesting because they provide with a truly gauge-invariant action principle in the fiber-bundle sense. So far, their main drawback has largely been the perceived remoteness from standard General…

High Energy Physics - Theory · Physics 2014-11-18 Fernando Izaurieta , Paul Minning , Alfredo Pérez , Eduardo Rodríguez , Patricio Salgado

In the effective field theory approach to gravity, the Lagrangian density for general relativity is supplemented by generally covariant terms of higher order in the Riemann tensor and its derivatives. At face value, these terms will result…

General Relativity and Quantum Cosmology · Physics 2024-09-25 Dražen Glavan , Shinji Mukohyama , Tom Zlosnik

We study the Poincar\'e gauge theory of gravity with the most general Lagrangian quadratic in curvature and torsion, focusing on the possible interaction of the axial torsion with the electromagnetic field. From the analysis of the closed…

General Relativity and Quantum Cosmology · Physics 2024-10-03 Mariya Iv. Trukhanova , Yu. N. Obukhov

We present a covariant multisymplectic formulation for the Einstein-Hilbert model of General Relativity. As it is described by a second-order singular Lagrangian, this is a gauge field theory with constraints. The use of the unified…

Mathematical Physics · Physics 2018-03-29 Jordi Gaset , Narciso Román-Roy

We present a framework for the dynamics of causal sets and coupled matter fields, which is a simplification and generalization of an approach we recently proposed. Given a set of fields including the gravitational one, the main step in…

General Relativity and Quantum Cosmology · Physics 2009-07-28 Roman Sverdlov , Luca Bombelli

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…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Erick I. Duque

The role of torsion and a scalar field $\phi$ in gravitation, especially, in the presence of a Dirac field in the background of a particular class of the Riemann-Cartan geometry is considered here. Recently, a Lagrangian density with…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Prasanta Mahato

We consider the general scalar field Horndeski Lagrangian coupled to matter. Within this class of models, we present two results that are independent of the particular form of the model. First, we show that in a Friedmann-Robertson-Walker…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Adalto R. Gomes , Luca Amendola

We study the gravitational action induced by coupling two-dimensional non-conformal, massive matter to gravity on a compact Riemann surface. We express this gravitational action in terms of finite and well-defined quantities for any value…

High Energy Physics - Theory · Physics 2017-03-08 Adel Bilal , Laetitia Leduc

We propose a lattice version of Chern-Simons gravity and show that the partition function coincides with Ponzano-Regge model and the action leads to the Chern-Simons gravity in the continuum limit. The action is explicitly constructed by…

High Energy Physics - Theory · Physics 2009-10-31 N. Kawamoto , H. B. Nielsen , N. Sato

Four dimensional gravity with a U(1) gauge field, coupled to various fields in asymptotically anti-de Sitter spacetime, provides a rich arena for the holographic study of the strongly coupled (2+1)-dimensional dynamics of finite density…

High Energy Physics - Theory · Physics 2013-11-11 Tameem Albash , Clifford V. Johnson , Scott MacDonald

We consider a model of modified gravity based on the spectral action functional, for a cosmic topology given by a spherical space form, and the associated slow-roll inflation scenario. We consider then the coupling of gravity to matter…

Mathematical Physics · Physics 2014-08-20 Branimir Cacic , Matilde Marcolli , Kevin Teh

A Poincar\'{e} gauge theory of (2+1)-dimensional gravity is developed. Fundamental gravitational field variables are dreibein fields and Lorentz gauge potentials, and the theory is underlain with the Riemann-Cartan space-time. The most…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Toshiharu Kawai

We show that the exterior algebra bundle over a curved spacetime can be used as framework in which both the Dirac and the Einstein equations can be obtained. These equations and their coupling follow from the variational principle applied…

Mathematical Physics · Physics 2021-11-10 Jason Hanson

We use a description based on differential forms to systematically explore the space of scalar-tensor theories of gravity. Within this formalism, we propose a basis for the scalar sector at the lowest order in derivatives of the field and…

High Energy Physics - Theory · Physics 2016-07-07 Jose María Ezquiaga , Juan García-Bellido , Miguel Zumalacárregui

This is the second paper in a series on the dynamics of matter fields in the causal set approach to quantum gravity. We start with the usual expression for the Lagrangian of a charged scalar field coupled to a SU(n) Yang-Mills field, in…

General Relativity and Quantum Cosmology · Physics 2008-07-15 Roman Sverdlov

We establish a new model, which takes into account a dynamic (inertial) self-interaction of gravitating systems. The model is formulated by introduction of a new function depending on the square of the covariant derivative of the velocity…

General Relativity and Quantum Cosmology · Physics 2009-12-17 A. B. Balakin , H. Dehnen

In gauge/gravity duality, matrix degrees of freedom on the gauge theory side play important roles for the emergent geometry. In this paper, we discuss how the entanglement on the gravity side can be described as the entanglement between…

High Energy Physics - Theory · Physics 2023-01-25 Vaibhav Gautam , Masanori Hanada , Antal Jevicki , Cheng Peng

Massless higher-spin fields show no preference for any value of the cosmological constant in $3d$. All matter-free higher-spin gravities in 3d are equivalent to Chern-Simons theories with an appropriate choice of gauge algebra. For various…

High Energy Physics - Theory · Physics 2024-09-20 Alexey Sharapov , Evgeny Skvortsov , Arseny Sukhanov

A model of matter-coupled gravity in two dimensions is quantized. The crucial requirement for performing the quantization is the vanishing of the conformal anomaly, which is achieved by tuning a parameter in the interaction potential. The…

High Energy Physics - Theory · Physics 2009-11-07 M. Cadoni , P. Carta , S. Mignemi