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By gauging the Maxwell spacetime algebra the standard geometric framework of Einstein gravity with cosmological constant term is extended by adding six fourvector fields A_\mu^{ab}(x) associated with the six abelian tensorial charges in the…

High Energy Physics - Theory · Physics 2011-07-08 Jose A. de Azcarraga , Kiyoshi Kamimura , Jerzy Lukierski

Using the recently advanced Galilean gauge theory (GGT) we give a comprehensive construction of torsional Newton Cartan geometry. The coupling of a Galilean symmetric model with background NC geometry following GGT is illustrated by a free…

General Relativity and Quantum Cosmology · Physics 2016-11-03 Rabin Banerjee , Pradip Mukherjee

We consider the torsional completion of the theory of gravity in which the torsion is a propagating axial-vector field interacting with spinor fields: we show how this changes the energy conditions leading to singularity formation being…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Luca Fabbri

In this paper, a semi-simple and Maxwell extension of the (anti) de Sitter algebra is constructed. Then, a gauge-invariant model has been presented by gauging the Maxwell semi-simple extension of the (anti) de Sitter algebra. We firstly…

High Energy Physics - Theory · Physics 2021-09-29 Salih Kibaroğlu , Oktay Cebecioğlu

It is shown by Connes, Douglas and Schwarz that gauge theory on noncommutative torus describes compactifications of M-theory to tori with constant background three-form field. This indicates that noncommutative gauge theories on more…

High Energy Physics - Theory · Physics 2016-11-23 I. Ya. Aref'eva , I. V. Volovich

Recently proposed extension of Yang-Mills theory contains non-Abelian tensor gauge fields. The Lagrangian has quadratic kinetic terms, as well as cubic and quartic terms describing non-linear interaction of tensor gauge fields with the…

High Energy Physics - Theory · Physics 2011-05-09 George Savvidy

We consider SU(2) gauge potentials over a space with a compactified dimension. A non-Abelian Fourier transform of the gauge potential in the compactified dimension is defined in such a way that the Fourier coefficients are (almost) gauge…

High Energy Physics - Theory · Physics 2009-11-07 Grigorii B. Pivovarov , James P. Vary

Some mathematical inconsistencies in the conventional form of Maxwell's equations extended by Lorentz for a single charge system are discussed. To surmount these in framework of Maxwellian theory, a novel convection displacement current is…

High Energy Physics - Theory · Physics 2015-06-26 Andrew E. Chubykalo , Roman Smirnov-Rueda

The construction of a gauge field theory for elementary particles usually starts by promoting global invariance of the matter action to a local one, this in turn implying the introduction of gauge fields. We present here a procedure that…

Mathematical Physics · Physics 2011-10-19 C. A. Garcia Canal , F. A. Schaposnik

A new gauge-free electromagnetic gyrokinetic theory is developed, in which the gyrocenter equations of motion and the gyrocenter phase-space transformation are expressed in terms of the perturbed electromagnetic fields, instead of the usual…

Plasma Physics · Physics 2019-06-26 J. W. Burby , A. J. Brizard

Gauge fields of mixed symmetry, corresponding to arbitrary representations of the local Lorentz group of the background spacetime, arise as massive modes in compactifications of superstring theories. We describe bosonic gauge field theories…

High Energy Physics - Theory · Physics 2009-11-10 Paul de Medeiros

The Poisson gauge algebra is a semi-classical limit of complete non-commutative gauge algebra. In the present work we formulate the Poisson gauge theory which is a dynamical field theoretical model having the Poisson gauge algebra as a…

High Energy Physics - Theory · Physics 2021-09-08 Vladislav G. Kupriyanov

We clarify a strong link between general nonlinear Fokker-Planck equations with gauge fields associated with nonequilibrium dynamics and the Fisher information of the system. The notion of Abelian gauge theory for the non-equilibrium…

Statistical Mechanics · Physics 2018-02-14 Takuya Yamano

Gauge transformations are potential transformations that leave only specific Maxwell fields invariant. To reveal more, I develop Lorenz field equations with full Maxwell form for nongauge, sans gauge function, transformations yielding…

General Physics · Physics 2008-12-16 H. C. Potter

We extend the Einstein-aether theory to include the Maxwell field in a nontrivial manner by taking into account its interaction with the time-like unit vector field characterizing the aether. We also include a generic matter term. We…

General Relativity and Quantum Cosmology · Physics 2014-08-27 Alexander B. Balakin , José P. S. Lemos

We analyze the question of $U_{\star} (1)$ gauge invariance in a flat non-commutative space where the parameter of non-commutativity, $\theta^{\mu\nu} (x)$, is a local function satisfying Jacobi identity (and thereby leading to an…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , Josif Frenkel

We present a detailed study of plane waves in noncommutative abelian gauge theories. The dispersion relation is deformed from its usual form whenever a constant background electromagnetic field is present and is similar to that of an…

High Energy Physics - Theory · Physics 2008-11-26 Tiago Mariz , J. R. Nascimento , Victor O. Rivelles

We develop exact field theoretic methods to treat turbulence when the effect of pressure is negligible. We find explicit forms of certain probability distributions, demonstrate that the breakdown of Galilean invariance is responsible for…

High Energy Physics - Theory · Physics 2009-10-28 A. Polyakov

We review the connection between noncommutative field theories and gravity. When the noncommutativity is induced by the Moyal product we can use the Seiberg-Witten map in order to deal with ordinary fields. We then show that the effect of…

High Energy Physics - Theory · Physics 2009-11-10 Victor O. Rivelles

Eisenhart's classical unified field theory is based on a non-Riemannian affine connection related to the covariant derivative of the electromagnetic field tensor. The sourceless field equations of this theory arise from vanishing of the…

General Relativity and Quantum Cosmology · Physics 2009-08-30 Nikodem J. Poplawski
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