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The spacetime of the metric-affine gauge theory of gravity (MAG) encompasses {\it nonmetricity} and {\it torsion} as post-Riemannian structures. The sources of MAG are the conserved currents of energy-momentum and dilation, shear and spin.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Yu. N. Obukhov , E. J. Vlachynsky , W. Esser , R. Tresguerres , F. W. Hehl

In order to illustrate a recently derived covariant formalism for computing asymptotic symmetries and asymptotically conserved superpotentials in gauge theories, the case of gravity with minimally coupled scalar fields is considered and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Glenn Barnich

We present a geometrical unification theory in a Kaluza-Klein approach that achieve the geometrization of a generic gauge theory bosonic component. We show how it is possible to derive the gauge charge conservation from the invariance of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 F. Cianfrani , A. Marrocco , G. Montani

The interaction of matter with gravity in two dimensional spacetimes can be supplemented with a geometrical force analogous to a Lorentz force produced on a surface by a constant perpendicular magnetic field. In the special case of constant…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Daniel Cangemi

We investigate the quantum properties of the truly gauge-invariant and conserved charges of two-dimensional Yang-Mills theories, focusing on lattice QCD in the strong coupling regime. The construction of those charges uses the integral…

High Energy Physics - Lattice · Physics 2026-03-16 Paulo A. Faria da Veiga , Luiz A. Ferreira , Henrique Malavazzi , Ravi Mistry

We study the gauge invariance of laser-matter interaction. The velocity gauge where the vector potential is expanded to the $n$-th order with respect to the spatial coordinate, and the length gauge where the electric and magnetic fields are…

Atomic Physics · Physics 2018-12-19 Ryoji Anzaki , Yasushi Shinohara , Takeshi Sato , Kenichi L. Ishikawa

Further properties of a recently proposed higher order infinite spin particle model are derived. Infinitely many classically equivalent but different Hamiltonian formulations are shown to exist. This leads to a condition of uniqueness in…

High Energy Physics - Theory · Physics 2009-11-11 Ludde Edgren , Robert Marnelius

In this paper, we discuss a gravitational theory based on the generalized gauge field. Our Lagrangian is invariant not only under local Lorentz transformation and the ordinary gauge transformation but also under a new gauge transformation.…

High Energy Physics - Theory · Physics 2012-07-03 Kouzou Nishida

I consider theories of gravity built not just from the metric and affine connection, but also other (possibly higher rank) symmetric tensor(s). The Lagrangian densities are scalars built from them, and the volume forms are related to…

High Energy Physics - Theory · Physics 2020-04-06 Chethan Krishnan

Covariant renormalizable gravity is a Horava-like extension of general relativity, enjoying full diffeomorphism invariance. However, the price to pay in order to maintain both covariance and renormalizability is the presence of an unknown…

General Relativity and Quantum Cosmology · Physics 2017-03-23 Ratbay Myrzakulov , Lorenzo Sebastiani , Sunny Vagnozzi , Sergio Zerbini

We examine certain nonassociative deformations of quantum mechanics and gravity in three dimensions related to the dynamics of electrons in uniform distributions of magnetic charge. We describe a quantitative framework for nonassociative…

High Energy Physics - Theory · Physics 2018-03-14 Richard J. Szabo

An intersecting D3-D3' system contains magnetic monopole solutions due to D- strings stretched between two branes. These magnetic charges satisfy the usual Dirac quantization relation. We show that this quantization condition can also be…

High Energy Physics - Theory · Physics 2019-09-30 Milad Porforough

The field equations of $f(R)$ gravity are rewritten in the form of obvious wave equations with the stress-energy pseudotensor of the matter fields and the gravitational field as its source under the de Donder condition. The method of…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Bofeng Wu , Chao-Guang Huang

A modified Mimetic gravity (MMG) is proposed as a generalization of general relativity. The model contain a physical metric which is function of an auxiliary (unphysical) metric and a Lyra's metric. We construct different kinds of…

General Relativity and Quantum Cosmology · Physics 2015-04-07 Davood Momeni , Aziza Altaibayeva , Ratbay Myrzakulov

There is a number of completely integrable gravity theories in two dimensions. We study the metric-affine approach on a 2-dimensional spacetime and display a new integrable model. Its properties are described and compared with the known…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yuri N. Obukhov

We investigate a linearized tensor-tensor theory of gravity with torsion and a perturbed torsion wave solution is discovered in background Minkowski spacetime with zero torsion. Furthermore, gauge transformations of any perturbed tensor…

General Relativity and Quantum Cosmology · Physics 2008-07-02 Chih-Hung Wang

Although gauge invariance preserves the values of physical observables, a gauge transformation can introduce important alterations of physical interpretations. To understand this, it is first shown that a gauge transformation is not, in…

Quantum Physics · Physics 2013-02-07 H. R. Reiss

An outline of a proof of the decomposition of the linear metric perturbation into gauge-invariant and gauge-variant parts on an arbitrary background spacetime is discussed through an exlicit construction of gauge-invariant and gauge-variant…

General Relativity and Quantum Cosmology · Physics 2012-09-28 Kouji Nakamura

Starting from a divergence-free rank-4 tensor of which the trace is the cosmological Einstein tensor, we give a construction of conserved charges in Einstein's gravity and its higher derivative extensions for asymptotically anti-de Sitter…

High Energy Physics - Theory · Physics 2019-02-19 Emel Altas , Bayram Tekin

We consider the reduction of the duality invariant approach to M-theory by a U-duality group valued Scherk-Schwarz twist. The result is to produce potentials for gauged supergravities that are normally associated with non-geometric…

High Energy Physics - Theory · Physics 2015-06-05 David S. Berman , Edvard T. Musaev , Daniel C. Thompson