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It is shown that the currently studied ``string-inspired'' model for gravity on a line can be formulated as a gauge invariant theory based on the Poincar\'e group with central extension -- a formulation that complements and simplifies…

高能物理 - 理论 · 物理学 2009-10-22 Daniel Cangemi , Roman Jackiw

We investigate the relationship between the generalized uncertainty principle in quantum gravity and the quantum deformation of the Poincar\'e algebra. We find that a deformed Newton-Wigner position operator and the generators of spatial…

高能物理 - 理论 · 物理学 2013-11-13 Michele Maggiore

Backreactions are considered in a de Sitter spacetime whose cosmological constant is generated by the potential of scalar field. The leading order gravitational effect of nonlinear matter fluctuations is analyzed and it is found that the…

广义相对论与量子宇宙学 · 物理学 2009-11-11 B. Losic , W. G. Unruh

The quantum gravity is formulated based on principle of local gauge invariance. The model discussed in this paper has local gravitational gauge symmetry and gravitational field appears as gauge field. The problems on quantization and…

高能物理 - 理论 · 物理学 2007-05-23 Ning Wu

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

We consider a point particle coupled to 2+1 gravity, with de Sitter gauge group SO(3,1). We observe that there are two contraction limits of the gauge group: one resulting in the Poincare group, and the second with the gauge group having…

高能物理 - 理论 · 物理学 2014-09-09 J. Kowalski-Glikman , T. Trzesniewski

According to Yang \& Mills (1954), a {\it conserved} current and a related rigid (`global') symmetry lie at the foundations of gauge theory. When the rigid symmetry is extended to a {\it local} one, a so-called gauge symmetry, a new…

广义相对论与量子宇宙学 · 物理学 2020-11-24 Friedrich W. Hehl , Yuri N. Obukhov

We show a gravitational spin-orbit interaction that can potentially modify the space-time geometry naturally emerges in the framework of Poincar\'e gauge theory. For this purpose, we derive the field equations of a particular model with…

广义相对论与量子宇宙学 · 物理学 2026-01-23 Sebastian Bahamonde , Jorge Gigante Valcarcel

Einstein's General Relativity (GR) is a dynamical theory of the spacetime metric. We describe an approach in which GR becomes an SU(2) gauge theory. We start at the linearised level and show how a gauge theoretic Lagrangian for…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Kirill Krasnov

Owing to the existence of an invariant length at the Planck scale, Einstein special relativity breaks down at that scale. A possible solution to this problem is arguably to replace the Poincar\'e invariant Einstein special relativity by a…

广义相对论与量子宇宙学 · 物理学 2019-06-14 A. Araujo , D. F. Lopez , J. G. Pereira

We give a short outline, in Sec.\ 2, of the historical development of the gauge idea as applied to internal ($U(1),\, SU(2),\dots$) and external ($R^4,\,SO(1,3),\dots$) symmetries and stress the fundamental importance of the corresponding…

广义相对论与量子宇宙学 · 物理学 2009-09-25 F. Gronwald , F. W. Hehl

The neat formulation that describes the gauge interactions associated with internal symmetries is extended to the case of a simple, yet non-trivial, symmetry group structure which mixes gravity and electromagnetism by associating a gauge…

数学物理 · 物理学 2009-11-11 V. Aldaya , E. Sánchez-Sastre

We discuss the possibility of a class of gauge theories, in four Euclidean dimensions, to describe gravity at quantum level. The requirement is that, at low energies, these theories can be identified with gravity as a geometrodynamical…

高能物理 - 理论 · 物理学 2015-06-12 R. F. Sobreiro , A. A. Tomaz , V. J. Vasquez Otoya

The Einsteinian Theory of Gravitation ("General Theory of Relativity") is founded essentially; on the reception that the geometrical properties of the 4-dimensional space-time continuum are defined from the matter in it. Contrary to this,…

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

We analyse the parity violation issue in the Poincar\'e gauge theory of gravity for the two classes of models which are built as natural extensions of the Einstein-Cartan theory. The conservation laws of the matter currents are revisited…

广义相对论与量子宇宙学 · 物理学 2020-11-24 Yuri N. Obukhov

This thesis focuses on modifications on Einstein's theory of General Relativity, which could explain the current problems in gravitation and cosmology. More specifically, modifications of the affine structure of the spacetime, which is the…

广义相对论与量子宇宙学 · 物理学 2021-01-28 Francisco José Maldonado Torralba

A frame work has been presented for theoretical interpretation of various modified gravitational models which is based on the group theoretical approach and unitary irreducible representations (UIR's) of de Sitter (dS) group. In order to…

广义相对论与量子宇宙学 · 物理学 2016-05-30 Mohsen Dehghani

The gauge theory of the de Sitter group, SO$(1,4)$, in the ambient space formalism has been considered in this article. This method is essential to constructing the de Sitter super-conformal gravity and Quantum gravity. $10$ gauge vector…

广义相对论与量子宇宙学 · 物理学 2022-08-24 R. Raziani , M. V. Takook

We discuss a possible compactification of a higher-dimensional gravitational theory, which give rise to a de Sitter or an accelerating universe, to the extent that it can describe a low energy limit of string theory. Such analysis can be…

高能物理 - 理论 · 物理学 2011-03-15 Masato Minamitsuji , Kunihito Uzawa

It is believed that gravity will be explained in the framework of the existing quantum theory when one succeeds in eliminating divergencies at large momenta or small distances (although the phenomenon of gravity has been observed only at…

广义相对论与量子宇宙学 · 物理学 2008-07-28 Felix Lev