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Emergent modified gravity presents a new set of generally covariant gravitational theories in which the space-time metric is not directly given by one of the fundamental fields. A metric compatible with the modified dynamics of gravity is…

General Relativity and Quantum Cosmology · Physics 2024-04-09 Martin Bojowald , Erick I. Duque

We give a derivation of general relativity and the gauge principle that is novel in presupposing neither spacetime nor the relativity principle. We consider a class of actions defined on superspace with two key properties. The first is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Julian Barbour , Brendan Foster , Niall Ó Murchadha

We consider the sum of the Einstein-Hilbert action and a Pontryagin density (PD) in arbitrary even dimension $D$. All curvatures are functions of independent affine (torsionless) connections only. In arbitrary dimension, not only in $D=4n$,…

General Relativity and Quantum Cosmology · Physics 2022-12-12 Ulf Lindström , Özgür Sarıoğlu

Recently it has been explicitly shown how a theory with global $GL(d,\mathbb{R})$ coordinate (affine) invariance which is spontaneously broken down to its Lorentz subgroup will have as its Goldstone fields enough degrees of freedom to…

High Energy Physics - Theory · Physics 2022-10-20 Lukas W. Lindwasser , E. T. Tomboulis

A model of spontaneous Lorentz violation in four dimension is given, which seems to provide a Lorentz invariant effective theory. An SU(2) Yang-Mills gauge field and an auxiliary U(1) vector field generate gravity and other interactions…

General Physics · Physics 2021-03-31 Kimihide Nishimura

By noticing the fact that the charged leptons and quarks in the standard model are chirality-based Dirac spinors since their weak interaction violates maximally parity symmetry though they behave as Dirac fermions in electromagnetic…

High Energy Physics - Theory · Physics 2022-12-12 Yue-Liang Wu

The cosmology of metric-affine gravity is studied for the general, parity preserving action quadratic in curvature, torsion and non-metricity. The model contains 27 a priori independent couplings in addition to the Einstein constant. Linear…

General Relativity and Quantum Cosmology · Physics 2024-12-23 Thomas Dyer , Will Barker , Damianos Iosifidis

We study effective field theories (EFTs) enjoying (maximal) biform symmetries. These are defined by the presence of a conserved (electric) current that has the symmetries of a Young tableau with two columns of equal length. When these…

High Energy Physics - Theory · Physics 2023-03-22 Kurt Hinterbichler , Diego M. Hofman , Austin Joyce , Grégoire Mathys

The structure of the divergences for transverse theories of gravity is studied to one-loop order. These theories are invariant only under those diffeomorphisms that enjoy unit Jacobian determinant (TDiff), so that the determinant of the…

High Energy Physics - Theory · Physics 2008-11-26 Enrique Alvarez , Anton F. Faedo , J. J. Lopez-Villarejo

Einstein Equivalence Principle (EEP) requires all matter components to universally couple to gravity via a single common geometry: that of spacetime. This relates quantum theory with geometry as soon as interactions with gravity are…

General Relativity and Quantum Cosmology · Physics 2022-09-13 Ashkan Alibabaei

We consider a classical fermion and a classical scalar, propagating on two different kinds of 4-dimensional diffeomorphism breaking gravity backgrounds, and we derive the one-loop effective dispersion relation for matter, after integrating…

High Energy Physics - Phenomenology · Physics 2016-09-21 J. Alexandre , J. Leite

Motivated by the apparent dependence of string $\sigma$--models on the sum of spacetime metric and antisymmetric tensor fields, we reconsider gravity theories constructed from a nonsymmetric metric. We first show that all such "geometrical"…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Damour , S. Deser , J. McCarthy

We find the conditions under which scale-invariant Einstein-Cartan gravity with scalar matter fields leads to an approximate conformal invariance of the flat space particle theory up to energies of the order of the Planck mass. In the…

High Energy Physics - Theory · Physics 2023-07-24 Georgios K. Karananas , Mikhail Shaposhnikov , Sebastian Zell

We explore models with emergent gravity and metric by means of numerical simulations. A particular type of two-dimensional non-linear sigma-model is regularized and discretized on a quadratic lattice. It is characterized by lattice…

High Energy Physics - Theory · Physics 2015-06-11 D. Sexty , C. Wetterich

The possibility of the extension of spatial diffeomorphisms to a larger family of symmetries in a class of classical field theories is studied. The generator of the additional local symmetry contains a quadratic kinetic term and a potential…

High Energy Physics - Theory · Physics 2015-05-18 Szilard Farkas , Emil J. Martinec

Modifications to gravity that add additional functions of the Ricci curvature to the Einstein-Hilbert action -- collectively known as $f(R)$ theories -- have been studied in great detail. When considered as complete theories of gravity they…

Astrophysics · Physics 2009-02-20 Simon DeDeo , Dimitrios Psaltis

A constraint of vanishing energy-momentum tensor is motivated by a variety of perspectives on quantum gravity. We demonstrate in a concrete example how this constraint leads to a metric-independent theory in which quantum gravity emerges as…

High Energy Physics - Theory · Physics 2017-04-26 Christopher D. Carone , Joshua Erlich , Diana Vaman

We discuss the static spherically symmetric Einstein-spinor field system in the possible presence of various spinor field nonlinearities. We take into account that the spinor field energy-momentum tensor (EMT) has in general some…

General Relativity and Quantum Cosmology · Physics 2020-03-05 K. A. Bronnikov , Yu. P. Rybakov , Bijan Saha

We classify the metric-affine theories of gravitation, in which the metric and the connections are treated as independent variables, by use of several constraints on the connections. Assuming the Einstein-Hilbert action, we find that the…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Keigo Shimada , Katsuki Aoki , Kei-ichi Maeda

We study scalar-tensor theories respecting the projective invariance in the metric-affine formalism. The metric-affine formalism is a formulation of gravitational theories such that the metric and the connection are independent variables in…

General Relativity and Quantum Cosmology · Physics 2018-09-24 Katsuki Aoki , Keigo Shimada