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The gauge theoretical formulation of general relativity is presented. We are only concerned with local intrinsic geometry, i.e. our space-time is an open subset of a four-dimensional real vector space. Then the gauge group is the set of…

广义相对论与量子宇宙学 · 物理学 2018-12-07 Thomas Schucker

In this work consideration is given to massless and massive gauge-invariant spin 0 and spin 1 fields (particles) within the scope of a theory of the generalized relativistic wave equations with an extended set of the Lorentz group…

高能物理 - 理论 · 物理学 2010-02-04 V. A. Pletyukhov , V. I. Strazhev

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.…

高能物理 - 理论 · 物理学 2012-07-03 Kouzou Nishida

The equivalence principle postulates a frame. This implies globally special and locally general relativity. It is proposed here that spacetime emerges from the gauge potential of translations, whilst the Lorenz symmetry is gauged into the…

综合物理 · 物理学 2015-11-06 Tomi S. Koivisto

It is shown how to write the first order action for gravity in a gauge theoretic formalism where the spin connection and frame field degrees of freedom are assimilated together into a gauge connection. It is then shown how to couple the…

高能物理 - 理论 · 物理学 2014-08-12 Steven Kerr

As in the case of the other gauge field theories, there is so called ``gauge'' also in general relativity. This ``gauge'' is unphysical degree of freedom. There are two kinds of ``gauges'' in general relativity. These are called the first-…

广义相对论与量子宇宙学 · 物理学 2007-11-08 Kouji Nakamura

If we replace the general spacetime group of diffeomorphisms by transformations taking place in the tangent space, general relativity can be interpreted as a gauge theory, and in particular as a gauge theory for the Lorentz group. In this…

广义相对论与量子宇宙学 · 物理学 2009-11-07 M. Calcada , J. G. Pereira

A gauge theory of quantum gravity is formulated, in which an internal, field dependent metric is introduced which non-linearly realizes the gauge fields on the non-compact group $SL(2,C)$, while linearly realizing them on $SU(2)$.…

广义相对论与量子宇宙学 · 物理学 2007-05-23 J. W. Moffat

An Abelian gauge theory describing dynamics of massive spin one bosons is constructed. This is achieved by appending to the Maxwell action, a gauge invariant mass term. The theory is quantised in temporal as well as Lorentz gauge, and the…

高能物理 - 理论 · 物理学 2016-01-27 Vivek M. Vyas , V. Srinivasan

A gauge theory of the Lorentz group, based on the different behavior of spinors and vectors under local transformations, is formulated in a flat space-time and the role of the torsion field within the generalization to curved space-time is…

高能物理 - 理论 · 物理学 2009-03-24 Nakia Carlevaro , Orchidea Maria Lecian , Giovanni Montani

A gauge theory of the Lorentz group with a mass-dimension one gauge field coupling to matter of any spin is developed. As a completely new feature the "Vierbein" assuring local gauge invariance enters not as an independent dynamical field,…

广义相对论与量子宇宙学 · 物理学 2019-03-05 C. Wiesendanger

In this article we consider the problem to what extent the motion of gauge-charged matter that generates the gravitational field can be arbitrary, as well as what equations are superimposed on the gauge field due to conditions of…

广义相对论与量子宇宙学 · 物理学 2021-04-27 Serhii Samokhvalov

Some mathematical aspects of using the translation group as an internal symmetry group in a gauge field theory are presented and discussed. The traditional manner in which gravitation can be accounted for by the introduction of a global…

广义相对论与量子宇宙学 · 物理学 2007-05-23 David Delphenich

A relatively simple approach to noncommutative gravity utilizes the gauge theory formulation of general relativity and involves replacing the Lorentz gauge group by a larger group. This results in additional field degrees of freedom which…

高能物理 - 理论 · 物理学 2009-07-30 A. Stern

One of the greatest unsolved issues of the physics of this century is to find a quantum field theory of gravity. According to a vast amount of literature unification of quantum field theory and gravitation requires a gauge theory of gravity…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Rainer W. Kuhne

In these lectures I review the status of gravity from the point of view of the gauge principle and renormalization, the main tools in the toolbox of theoretical particle physics. In the first lecture I start from the old question "in what…

高能物理 - 理论 · 物理学 2014-11-20 R. Percacci

Gravitation theory is formulated as gauge theory on natural bundles with spontaneous symmetry breaking where gauge symmetries are general covariant transformations, gauge fields are general linear connections, and Higgs fields are…

数学物理 · 物理学 2016-06-29 G. Sardanashvily

Linearized gravity is considered as an ordinary gauge field theory. This implies the need for gauge fixing in order to have well defined propagators. Only after having achieved this, the most general mass term is added. The aim of this…

高能物理 - 理论 · 物理学 2017-10-25 Alberto Blasi , Nicola Maggiore

We present a parameter-free gauge formulation of general relativity in terms of a new set of real spin connection variables. The theory is constructed by extending the phase space of the recently formulated conformal geometrodynamics for…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Charles H. -T. Wang

A Lagrangian depending on geometric variables (metric, affine connection, gauge group generators) is given which maintains compatibility with General Relativity. It generates the dynamics for Electromagnetism and other Gauge Fields along…

综合物理 · 物理学 2010-08-17 Juan Andres Musante
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