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We study the gauge invariant cosmological perturbations up to second order. We show that there are infinite families of gauge invariant variables at both of the first and second orders. The conversion formulae among different families are…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-20 Zhe Chang , Sai Wang , Qing-Hua Zhu

Contrary to the conventional view point of quantization that breaks the gauge symmetry, a gauge invariant formulation of quantum electrodynamics is proposed. Instead of fixing the gauge, some frame is chosen to yield the locally invariant…

High Energy Physics - Theory · Physics 2007-05-23 Taro Kashiwa , Yasushi Takahashi

We study the issue of gauge-invariant observables in d=4, N=4 noncommutative gauge theory and UV-IR relation therein. We show that open Wilson lines form a complete set of gauge invariant operators, which are local in momentum space and,…

High Energy Physics - Theory · Physics 2009-10-31 Sumit Das , Soo-Jong Rey

Any metric theory of gravity whose interaction with quantum particles is described by a covariant wave equation is equivalent to a vector theory that satisfies Maxwell-type equations identically. This result does not depend on any…

General Relativity and Quantum Cosmology · Physics 2014-04-30 Giorgio Papini

Various gauge invariant but non-Yang-Mills dynamical models are discussed: Pr\'ecis of Chern-Simons theory in (2+1)-dimensions and reduction to (1+1)-dimensional B-F theories; gauge theories for (1+1)-dimensional gravity-matter…

High Energy Physics - Theory · Physics 2007-05-23 R. Jackiw

The general second-order massive field equations for arbitrary positive integer spin in three spacetime dimensions, and their "self-dual" limit to first-order equations, are shown to be equivalent to gauge-invariant higher-derivative field…

High Energy Physics - Theory · Physics 2010-04-22 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

We obtain the complete non-linear Kaluza-Klein ansatz for the reduction of the bosonic sector of massive type IIA supergravity to the Romans F(4) gauged supergravity in six dimensions. The latter arises as a consistent warped S^4 reduction.

High Energy Physics - Theory · Physics 2008-11-26 M. Cvetic , H. Lu , C. N. Pope

A gauge-invariant formulation for the gravitational wave equations is presented. Using this approach, weak, plane wave solutions in a vacuum are derived in various theories. These include general relativity with two modes of polarization…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Junpei Harada

In this paper we discuss gravity in the light-front formulation (light-cone gauge) and show how possible counterterms arise. We find that Poincare invariance is not enough to find the three-point counterterms uniquely. Higher-spin fields…

High Energy Physics - Theory · Physics 2013-03-25 Anders K. H. Bengtsson , Lars Brink , Sung-Soo Kim

We present a gauge formulation of the special affine algebra extended to include an antisymmetric tensorial generator belonging to the tensor representation of the special linear group. We then obtain a Maxwell modified metric affine…

High Energy Physics - Theory · Physics 2021-10-27 Oktay Cebecioğlu , Salih Kibaroğlu

It is well--known that when magnetic monopoles are introduced in plasma equations the propagation of electromagnetic waves is modified. This occurs because of Maxwell equations acquire a symmetrical structure due to the existence of…

Plasma Physics · Physics 2019-09-04 Felipe A. Asenjo , Pablo S. Moya

Gauge-invariant field strengths, defined as parallel transports to infinity of ordinary field strengths, naturally emerge in a few physical phenomena governed by $QCD$. One of them is confinement of colour. Despite the arbitrariness in…

High Energy Physics - Lattice · Physics 2025-06-06 Adriano Di Giacomo

We investigate the gauging of a two-dimensional deformation of the Poincare algebra, which accounts for the existence of an invariant energy scale. The model describes 2D dilaton gravity with torsion. We obtain explicit solutions of the…

High Energy Physics - Theory · Physics 2009-11-07 S. Mignemi

We consider the problem of finding a dual formulation of gravity in the presence of non-trivial matter couplings. In the absence of matter a dual graviton can be introduced only for linearised gravitational interactions. We show that the…

High Energy Physics - Theory · Physics 2009-01-16 Eric A. Bergshoeff , Mees de Roo , Sven F. Kerstan , Axel Kleinschmidt , Fabio Riccioni

We consider the covariant gauge field theory of fractons, which describe a new type of quasiparticles exhibiting novel and nontrivial properties. In particular, we focus on the field theoretical peculiarities which characterize this theory,…

High Energy Physics - Theory · Physics 2023-04-24 Erica Bertolini , Alberto Blasi , Andrea Damonte , Nicola Maggiore

The motion of a charged particle moving on a flat surface is studied through the constants of motion associated to the system, given the magnetic gauge. The usual Landau' solution and the non separable solution for the Landau's gauge are…

Quantum Physics · Physics 2025-01-28 Gustavo V. López , Jorge A. Lizarraga

Linear covariant gauges, such as Feynman gauge, are very useful in perturbative calculations. Their nonperturbative formulation is, however, highly non-trivial. In particular, it is a challenge to define linear covariant gauges on a…

High Energy Physics - Lattice · Physics 2009-01-27 Attilio Cucchieri , Axel Maas , Tereza Mendes

In this paper we present a solution for Kaluza-Klein magnetic monopole in a five-dimensional global monopole spacetime. This new solution is a generalization of previous ones obtained by D. Gross and M. Perry (Nucl. Phys. B {\bf 226}, 29…

High Energy Physics - Theory · Physics 2009-11-10 A. L. Cavalcanti de Oliveira , E. R. Bezerra de Mello

In this paper, I explain how gauge symmetry can be broken in a geometric way, \`{a} la Kaluza-Klein. In higher dimensional gravitational theories, one usually considers the extra dimensions to be ``frozen'' in time. However, the internal…

High Energy Physics - Theory · Physics 2009-11-07 Tirthabir Biswas

Standard cosmological models rely on an approximate treatment of gravity, utilizing solutions of the linearized Einstein equations as well as physical approximations. In an era of precision cosmology, we should ask: are these approximate…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-06 John T. Giblin , James B. Mertens , Glenn D. Starkman , Chi Tian
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