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We write a gravity theory with Yang-Mills type action using the biconformal gauging of the conformal group. We show that the resulting biconformal Yang-Mills gravity theories describe 4-dim, scale-invariant general relativity in the case of…

High Energy Physics - Theory · Physics 2009-11-10 Lara B. Anderson , James T. Wheeler

The effect of the large-scale cosmological expansion on small systems is studied in the light of modern cosmological models of large-scale structure. We identify certain assumptions of earlier works which render them unrealistic regarding…

Astrophysics · Physics 2008-11-26 Alvaro Dominguez , Jose Gaite

A detailed description of the infinite-dimensional Lie algebra of star-gauge transformations in noncommutative Yang-Mills theory is presented. Various descriptions of this algebra are given in terms of inner automorphisms of the underlying…

High Energy Physics - Theory · Physics 2009-11-07 F. Lizzi , R. J. Szabo , A. Zampini

In this paper, we study the higher Yang-Mills theory in the framework of higher gauge theory. It was shown that the 2-form electromagnetism can be generalized to the 2-form Yang-Mills theory with the group $U(1)$ replaced by a crossed…

Mathematical Physics · Physics 2022-05-18 Danhua Song , Kai Lou , Ke Wu , Jie Yang , Fuhao Zhang

Cosmological models with an SU(2) Yang-Mills field are studied. For a specific model with a minimally coupled Yang-Mills Lagrangian, which includes an arbitrary function of the second-order term and a fourth-order term, a corresponding…

High Energy Physics - Theory · Physics 2013-08-27 E. Elizalde , A. J. Lopez-Revelles , S. D. Odintsov , S. Yu. Vernov

It has recently been proposed that the Universe might be accelerating as a consequence of extra dimensions with time varying size. We show that although these scenarios can lead to acceleration, they run into serious difficulty when taking…

High Energy Physics - Phenomenology · Physics 2009-11-07 James M. Cline , Jérémie Vinet

We study the deformed Hermitian-Yang-Mills equation on the blowup of complex projective space. Using symmetry, we express the equation as an ODE which can be solved using combinatorial methods if an algebraic stability condition is…

Differential Geometry · Mathematics 2021-07-20 Adam Jacob , Norman Sheu

The evolution of physical and gauge degrees of freedom in the Einstein and Yang-Mills theories are separated in a gauge-invariant manner. We show that the equations of motion of these theories can always be written in flux-conservative…

General Relativity and Quantum Cosmology · Physics 2012-08-27 A. Abrahams , A. Anderson , Y. Choquet-Bruhat , J. W. York,

We show that gravity cures the infra-red divergence of the Yang monopole when a proper definition of conserved quantities in curved backgrounds is used, i.e. the gravitating Yang monopole in cosmological Einstein theory has a finite mass in…

High Energy Physics - Theory · Physics 2008-12-30 Hakan Cebeci , Ozgur Sarioglu , Bayram Tekin

We show that twisted reduced models can be interpreted as noncommutative Yang-Mills theory. Based upon this correspondence, we obtain noncommutative Yang-Mills theory with D-brane backgrounds in IIB matrix model. We propose that IIB matrix…

High Energy Physics - Theory · Physics 2009-10-31 H. Aoki , N. Ishibashi , S. Iso , H. Kawai , Y. Kitazawa , T. Tada

The Yang-Mills equations are formulated in the form of generalized Maurer-Cartan equations, such that the corresponding algebraic operations are shown to satisfy the defining relations of homotopy Lie superalgebra.

High Energy Physics - Theory · Physics 2009-11-18 Anton M. Zeitlin

We describe a glueing construction for the Yang-Mills equations in dimension $n > 4$. Our method is based on a construction of approximate solutions, and a detailed analysis of the linearized operator near an approximate solution.

Differential Geometry · Mathematics 2007-05-23 Simon Brendle

The uniqueness theorems for general relativity and Yang-Mills theories can be circumvented by dropping the ubiquitous, yet often implicit, assumption that physical fields, such as the spacetime metric, are fundamental. The novel concept of…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Erick I. Duque

Two results are presented for reduced Yang-Mills integrals with different symmetry groups and dimensions: the first is a compact integral representation in terms of the relevant variables of the integral, the second is a method to…

High Energy Physics - Theory · Physics 2009-11-07 G. M. Cicuta , L. Molinari , G. Vernizzi

The extra dimensional defects that are introduced to generate the lattice chiral zero modes are not simply a computational trick, but have interesting physical consequences. After reviewing what is known about the layered phase they can…

High Energy Physics - Lattice · Physics 2014-11-18 S. Nicolis

In a recent paper [I.P. Neupane and D.L. Wiltshire, Phys. Lett. B 619, 201 (2005).] we have found a new class of accelerating cosmologies arising from a time--dependent compactification of classical supergravity on product spaces that…

High Energy Physics - Theory · Physics 2009-11-11 Ishwaree P. Neupane , David L. Wiltshire

We consider extended covariant teleparallel $(f(T))$ gravity whose action is analytic in the torsion scalar and which is sourced by an $su(2)$ valued Yang-Mills field. Specifically, we search for regular solutions to the coupled $f(T)$…

General Relativity and Quantum Cosmology · Physics 2018-10-02 Andrew DeBenedictis , Sasa Ilijic

A complexification of the twisted $\N=2$ theory allows one to determine the N=4 Yang--Mills theory in its third twist formulation. The imaginary part of the gauge symmetry is used to eliminate two scalars fields and create gauge covariant…

High Energy Physics - Theory · Physics 2009-10-06 Laurent Baulieu

In this Letter, we propose a model which is equivalent to the Yang-Mills theory at long distances but for which all symmetries are realized linearly. On top of the gauge and Fadeev-Popov ghosts fields, the model presents several massive…

High Energy Physics - Theory · Physics 2009-06-18 Matthieu Tissier , Nicolas Wschebor

The problem of explaining the acceleration of the expansion of the universe and the observational and theoretical difficulties associated with dark matter and dark energy are discussed. The possibility that Einstein gravity does not…

Astrophysics · Physics 2007-05-23 J. W. Moffat
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