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We present the quantum Yang-Mills theory in the four-dimensional de Sitter ambient space formalism. In accordance with the SU$(3)$ gauge symmetry the interaction Lagrangian is formulated in terms of interacting color charged fields in…

High Energy Physics - Theory · Physics 2022-08-18 M. V. Takook , J. P. Gazeau

Classical vacuum - pure gauge - solutions of Euclidean two-dimensional SU(2) Yang-Mills theories are studied. Topologically non-trivial vacua are found in a class of gauge group elements isomorphic to $S_2$. These solutions are unexpectedly…

High Energy Physics - Theory · Physics 2009-10-30 A. Bassetto , G. Nardelli

We review the study of inhomogeneous perturbations about a homogeneous and isotropic background cosmology. We adopt a coordinate based approach, but give geometrical interpretations of metric perturbations in terms of the expansion, shear…

Astrophysics · Physics 2010-04-23 Karim A. Malik , David Wands

The evolution of the electric and magnetic components in an effective Yang-Mills condensate dark energy model is investigated. If the electric field is dominant, the magnetic component disappears with the expansion of the Universe. The…

General Relativity and Quantum Cosmology · Physics 2009-04-10 Wen Zhao , Donghui Xu

The investigation of the inhomogeneities in modern inflationary Universe scenarios is related, in particular, with the study of the role played by scalar fields in cosmological evolution. We present the model described by one of the…

High Energy Physics - Phenomenology · Physics 2026-02-12 G. A. Kozlov

At one-loop accuracy we compute, characterize, and discuss the dispersion laws for the three low-momentum branches of propagating longitudinal, electric U(1) fields in the effective theory for the deconfining phase of pure SU(2) Yang-Mills…

High Energy Physics - Theory · Physics 2012-11-09 Carlos Falquez , Ralf Hofmann , Tilo Baumbach

We show that the cosmological sphaleron of Einstein-Yang-Mills system can be produced from real tunneling geometries. The sphaleron will tend to roll down to the vacuum or pure gauge field configuration, when the universe evolves in the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Shuxue Ding

Supersymmetric Yang-Mills quantum mechanics (SYMQM) results from the dimensional reduction of the Yang-Mills field theory in $D$ space-time dimensions to a single point in the $D-1$ dimensional space. It can be also viewed as the effective…

High Energy Physics - Lattice · Physics 2007-05-23 Jacek Wosiek , Massimo Campostrini

Quantizing any model in which a Lagrange multiplier (LM) field is used to restrict field configurations to those that satisfy the classical equations of motion, leads to at most one-loop radiative corrections. This approach can be used with…

High Energy Physics - Theory · Physics 2023-04-24 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon

We present variational formulations of gauge theories and Einstein--Yang-Mills equations in the spirit of Kaluza-Klein theories. For gaugetheories, only a topological fibration is assumed. For gravitation coupled with gauge fields, no…

Differential Geometry · Mathematics 2022-09-28 Frédéric Hélein

We analyze the stability properties of the purely magnetic, static solutions to the Einstein--Yang--Mills equations with cosmological constant. It is shown that all three classes of solutions found in a recent study are unstable under…

High Energy Physics - Theory · Physics 2009-10-30 O. Brodbeck , M. Heusler , G. Lavrelashvili N. Straumann , M. S. Volkov

We consider the evolution of perturbed cosmological spacetime with multiple scalar fields in Einstein gravity. A complete set of scalar-type perturbation equations is presented in a gauge-ready form, and we derived the closed set of…

Astrophysics · Physics 2009-10-31 J. Hwang , H. Noh

In the context of the dark energy scenario, the Einstein Yang-Mills Higgs model in the SO(3) representation was studied for the first time by M. Rinaldi (see JCAP 1510, 023 (2015)) in a homogeneous and isotropic spacetime. We revisit this…

General Relativity and Quantum Cosmology · Physics 2020-10-08 J. Bayron Orjuela-Quintana , Miguel Alvarez , Cesar A. Valenzuela-Toledo , Yeinzon Rodriguez

We consider a spatially homogeneous and isotropic cosmological model where Dirac spinors are coupled to classical gravity. For the Dirac spinors we choose a Hartree-Fock ansatz where all one-particle wave functions are coherent and have the…

Mathematical Physics · Physics 2014-04-23 Felix Finster , Christian Hainzl

We analyze the symmetry group of massive Yang-Mills theories and their quantization strongly motivated by an already proposed alternative to the Standard Model of electroweak interactions without Higgs. In these models the mass generation…

High Energy Physics - Theory · Physics 2015-05-20 V. Aldaya , M. Calixto , F. F. López-Ruiz

Recently, gauge field theory approaches were extensively used in order to discuss the physical consequences of spin-orbit interactions in condensed matter physics. An SU(2)$\times$U(1) gauge theory is very naturally borne out and provides…

Other Condensed Matter · Physics 2014-09-23 Bertrand Berche , Ernesto Medina

A modification of the gauge theory is proposed, in which the set of generalized coordinates is supplemented with symmetry transformation parameters, and a condition is additionally imposed on the latter that ensures the classical character…

High Energy Physics - Theory · Physics 2020-08-17 Natalia Gorobey , Alexander Lukyanenko , A. V. Goltsev

We study the coupled Einstein-Yang-Mills-Dilaton (EYMD) equations for a Fried\-mann-Le\-mai\-tre universe with constant curvature $k=1$. Our detailed analysis is restricted to the case where the dilaton potential and the cosmological…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Reto Eggenschwiler , David Scialom , Norbert Straumann

We revisit an old idea that gravity can be unified with Yang-Mills theory by enlarging the gauge group of gravity formulated as gauge theory. Our starting point is an action that describes a generally covariant gauge theory for a group G.…

High Energy Physics - Theory · Physics 2010-04-14 Alexander Torres-Gomez , Kirill Krasnov

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,