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We develop a Hamiltonian formalism suitable to be applied to gauge theories in the presence of Gravitation, and to Gravity itself when considered as a gauge theory. It is based on a nonlinear realization of the Poincar\'e group, taken as…

广义相对论与量子宇宙学 · 物理学 2009-10-28 A. López--Pinto , A. Tiemblo , R. Tresguerres

During the last five decades, gravity, as one of the fundamental forces of nature, has been formulated as a gauge theory of the Weyl-Cartan-Yang-Mills type. The present text offers commentaries on the articles from the most prominent…

广义相对论与量子宇宙学 · 物理学 2022-05-10 Milutin Blagojević , Friedrich W. Hehl

The fundamental interactions of nature, the electroweak and the quantum chromodynamics, are described in the Standard Model by the Gauge Theory under internal symmetries that maintain the invariance of the functional action. The fundamental…

广义相对论与量子宇宙学 · 物理学 2019-05-21 Wytler Cordeiro dos Santos

The evolution of a generally covariant theory is under-determined. One hundred years ago such dynamics had never before been considered; its ramifications were perplexing, its future important role for all the fundamental interactions under…

广义相对论与量子宇宙学 · 物理学 2016-11-23 James M. Nester , Chiang-Mei Chen

In the gauge theory of gravity based on the Poincare group (the semidirect product of the Lorentz group and the spacetime translations) the mass (energy-momentum) and the spin are treated on an equal footing as the sources of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Yuri N. Obukhov

The Poincare' group generalizes the Galilei group for high-velocity kinematics. The de Sitter group is assumed to go one step further, generalizing Poincare' as the group governing high-energy kinematics. In other words, ordinary special…

广义相对论与量子宇宙学 · 物理学 2009-01-16 R. Aldrovandi , J. G. Pereira

Some principal problems of general relativity theory and attempts of their solution are discussed. The Poincare gauge theory of gravity as natural generalization of Einsteinian gravitation theory is considered. The changes of gravitational…

广义相对论与量子宇宙学 · 物理学 2014-11-18 A. V. Minkevich

A description of how a theory of gravity can be considered as a gauge theory (in the sense of Trautman) of the Poincare' group is given. As a result, it is shown that a gauge theory of this kind is consistent with the Equivalence Principle…

微分几何 · 数学 2010-01-07 A. Spiro , S. Tantucci

A special relativity based on the de Sitter group is introduced, which is the theory that might hold up in the presence of a non-vanishing cosmological constant. Like ordinary special relativity, it retains the quotient character of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 R. Aldrovandi , J. P. Beltran Almeida , J. G. Pereira

We present a simple unifying gauge theoretical formulation of gravitational theories in two dimensional spacetime. This formulation includes the effects of a novel matter-gravity coupling which leads to an extended de Sitter symmetry…

高能物理 - 理论 · 物理学 2009-10-22 Daniel Cangemi , Gerald Dunne

A Poincar\'{e} gauge theory of (2+1)-dimensional gravity is developed. Fundamental gravitational field variables are dreibein fields and Lorentz gauge potentials, and the theory is underlain with the Riemann-Cartan space-time. The most…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Toshiharu Kawai

The Poincar\'e group can be interpreted as the group of isometries of a minkowskian space. This point of view suggests to consider the group of isometries of a given space as the suitable group to construct a gauge theory of gravity. We…

广义相对论与量子宇宙学 · 物理学 2014-11-20 J. Martin-Martin , A. Tiemblo

Poincar\'e Gauge Theories are a class of Metric-Affine Gravity theories with a metric-compatible (i.e. Lorentz) connection and with an action quadratic in curvature and torsion. We perform an explicit one-loop calculation starting with a…

高能物理 - 理论 · 物理学 2023-07-06 Oleg Melichev , Roberto Percacci

Gravity, and the puzzle regarding its energy, can be understood from a gauge theory perspective. Gravity, i.e., dynamical spacetime geometry, can be considered as a local gauge theory of the symmetry group of Minkowski spacetime: the…

广义相对论与量子宇宙学 · 物理学 2018-01-30 Chiang-Mei Chen , James M. Nester

The gauge approach to the theory of gravity has been widely discussed as an alternative to standard general relativity. The Poincar{\'e} group, as a symmetry group of all relativistic theories in the absence of gravitation, constitutes the…

广义相对论与量子宇宙学 · 物理学 2013-05-29 Marcin Kaźmierczak

The complexified gauging of the de Sitter group gives a unified theory for the electroweak and gravitational interactions. The standard spectrum for the electroweak gauge bosons is recovered with the correct mass assignments, following a…

高能物理 - 理论 · 物理学 2009-10-30 Nikolaos A Batakis

Pure gauge theories for de Sitter, anti de Sitter and orthogonal groups, in four-dimensional Euclidean spacetime, are studied. It is shown that, if the theory is asymptotically free and a dynamical mass is generated, then an effective…

高能物理 - 理论 · 物理学 2012-12-13 R. F. Sobreiro , A. A. Tomaz , V. J. Vasquez Otoya

Suggested theory involves a drastic revision of a role of local internal symmetries in physical concept of curved geometry. Under the reflection of fields and their dynamics from Minkowski to Riemannian space a standard gauge principle of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 G. T. Ter-Kazarian

The Poincar\'e (inhomogeneous Lorentz) group underlies special relativity. In these lectures a consistent formalism is developed allowing an appropriate gauging of the Poincar\'e group. The physical laws are formulated in terms of points,…

广义相对论与量子宇宙学 · 物理学 2023-03-10 Friedrich W. Hehl

We consider systems of two free particles in de Sitter invariant quantum theory and calculate the mean value of the mass operator for such systems. It is shown that, in addition to the well known relativistic contribution (and de Sitter…

高能物理 - 理论 · 物理学 2007-05-23 Felix Lev
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