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The scale invariance of the coupling constant in the induced gauge theory due to its compositeness condition is demonstrated in the renormalization group flow of the finite-cutoff gauge theory at the leading order in 1/N, where N is the…

High Energy Physics - Theory · Physics 2009-11-10 Akira Akabane , Keiichi Akama

The simplest variant of gauge gravitation theory in Riemann-Cartan spacetime leading to the solution of the problem of cosmological singularity and dark energy problem is investigated. It is shown that this theory by certain restrictions on…

General Relativity and Quantum Cosmology · Physics 2017-12-06 A. V. Minkevich

It is shown that the scalar degree of freedom built-in in the quadratic Weyl-invariant Einstein-Cartan gravity can drive inflation and with predictions in excellent agreement with observations.

General Relativity and Quantum Cosmology · Physics 2025-01-29 Georgios K. Karananas

The Poincare Gauge Theory of gravitation with a Lagrangian quadratic in the field strengths is applied to a classical cosmological model. It predicts a constant value of the non-riemannian curvature scalar, which acts as a cosmological…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Paul von der Heyde

We draw attention to a novel type of geometric gauge invariance relating the autoparallel equations of motion in different Riemann-Cartan spacetimes with each other. The novelty lies in the fact that the equations of motion are invariant…

General Relativity and Quantum Cosmology · Physics 2011-03-17 H. Kleinert , A. Pelster

Since magnetic fields in galaxies, galactic clusters and even void regions are observed, theoretical attempts to explain their origin are strongly motivated. It is interesting to consider that inflation is responsible for the origin of the…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-07 Tomohiro Fujita

The theory of noncommutative geometry provides an interesting mathematical background for developing new physical models. In particular, it allows one to describe the classical Standard Model coupled to Euclidean gravity. However,…

Mathematical Physics · Physics 2014-09-05 Nicolas Franco , Michał Eckstein

Gauge theory of gravity is formulated based on principle of local gauge invariance. Because the model has strict local gravitational gauge symmetry, gauge theory of gravity is a perturbatively renormalizable quantum model. However, in the…

High Energy Physics - Theory · Physics 2018-01-17 Ning Wu

Modified Newtonian dynamics, a successful alternative to the cosmic dark matter model, proposes that gravitational field deviates from the Newtonian law when the field strength $g$ is weaker than a critical value $g_0$. We will show that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 W. F. Kao

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 statistical mechanism is proposed for symmetrization of an extra space. The conditions and rate of attainment of a symmetric configuration and, as a consequence, the appearance of gauge invariance in low-energy physics is discussed. It is…

General Relativity and Quantum Cosmology · Physics 2015-05-14 S. G. Rubin

We study the infrared effective theory of gravity that stems from the quantum trace anomaly. Quantum fluctuations of the metric induce running of the cosmological constant and the Newton constant at cosmological scales. By imposing the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Neven Bilic , Branko Guberina , Raul Horvat , Hrvoje Nikolic , Hrvoje Stefancic

Gauge theories formulated in a space-time manifold that includes compact extra dimensions can show a nontrivial gauge structure. Depending on whether the gauge parameters propagate or not in the extra dimensions, two different Kaluza--Klein…

High Energy Physics - Phenomenology · Physics 2015-05-28 H. Novales-Sánchez , J. J. Toscano

Construction of the gauge-invariant variables for the linear metric perturbation, which was proposed in the paper [K. Nakamura, arXiv:1101.1147], is discussed through an alternative approach. Our starting point of the construction of the…

General Relativity and Quantum Cosmology · Physics 2011-03-17 Kouji Nakamura

The spacetime of the metric-affine gauge theory of gravity (MAG) encompasses {\it nonmetricity} and {\it torsion} as post-Riemannian structures. The sources of MAG are the conserved currents of energy-momentum and dilation, shear and spin.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Yu. N. Obukhov , E. J. Vlachynsky , W. Esser , R. Tresguerres , F. W. Hehl

It is argued that the massive non-Abelian gauge field theory without involving Higgs bosons may be well established on the basis of gauge-invariance principle because the dynamics of the field is gauge-invariant in the physical space…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su

We demonstrate that any scaling source in the radiation era produces a background of gravitational waves with an exact scale-invariant power spectrum. Cosmic defects, created after a phase transition in the early Universe, are such a…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-14 Daniel G. Figueroa , Mark Hindmarsh , Jon Urrestilla

In this paper we discuss how the gauge principle can be applied to classical-mechanics models with finite degrees of freedom. The local invariance of a model is understood as its invariance under the action of a matrix Lie group of…

Mathematical Physics · Physics 2022-03-03 B. F. Rizzuti , G. F. Vasconcelos

The Galilean gravitation derives from a scalar potential and a vector one. Poisson's equation to determine the scalar potential has no the expected Galilean covariance. Moreover, there are three missing equations to determine the potential…

General Relativity and Quantum Cosmology · Physics 2020-04-08 Géry de Saxcé

We consider general linear gauge theory, with independent solder form and connection. These spaces have both torsion and nonmetricity. We show that the Cartan structure equations together with the defining equation for nonmetricity allow…

General Relativity and Quantum Cosmology · Physics 2025-03-24 James T. Wheeler
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