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Non-Abelian gauge fields are traditionally not coupled to torsion due to violation of gauge invariance. However, it is possible to couple torsion to Yang-Mills fields while maintaining gauge invariance provided one accepts that the gauge…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Mukku

Motivated by some recent progress involving a non-compact gauge group, we obtain classical gauge fields using non-compact foliations of anti-de Sitter space in 4 dimensions (required dimensionality for conformal invariance of Yang-Mills…

High Energy Physics - Theory · Physics 2023-10-03 Kaushlendra Kumar

Generalized Yang-Mills theories are constructed, that can use fields other than vector as gauge fields. Their geometric interpretation is studied. An application to the Glashow-Weinberg-Salam model is briefly review, and some related…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaves

We treat the fluctuations of non-Abelian gauge fields around a classical configuration by means of a transformation from the Yang--Mills gauge field to a homogeneously transforming field variable. We use the formalism to compute the…

High Energy Physics - Theory · Physics 2009-07-30 Dennis D. Dietrich

A classification of gravitating Yang--Mills systems in all dimensions is presented. These systems are set up so that they support finite energy solutions. Both regular and black hole solutions are considered, the former being the limit of…

General Relativity and Quantum Cosmology · Physics 2009-07-10 Eugen Radu , D. H. Tchrakian

A gauge-invariant field is found which describes physical configurations, i.e. gauge orbits, of non-Abelian gauge theories. This is accomplished with non-Abelian generalizations of the Poincare'-Hodge formula for one-forms. In a particular…

High Energy Physics - Theory · Physics 2009-11-10 Peter Orland

It is shown that in the absence of free abelian gauge fields, the conserved currents of (classical) Yang-Mills gauge models coupled to matter fields can be always redefined so as to be gauge invariant. This is a direct consequence of the…

High Energy Physics - Theory · Physics 2009-10-28 Glenn Barnich , Friedemann Brandt , Marc Henneaux

The question of a modification of the running gauge coupling of (non-) abelian gauge theories by an incorporation of the quantum gravity contribution has recently attracted considerable interest. In this letter we perform an involved…

High Energy Physics - Theory · Physics 2008-11-26 Dietmar Ebert , Jan Plefka , Andreas Rodigast

A version of non-Abelian monopole equations is explored through dimensional reductions, with often the addition of algebraic conditions. On zero curvature spaces, spinor related extensions of integrable systems have been generated, and…

High Energy Physics - Theory · Physics 2007-05-23 M. Legare

We study quantized Yang-Mills theory with massive vector fields in the framework of causal perturbation theory. The most general form of the interaction which is invariant under operator gauge transformations is pointed out. The generator…

High Energy Physics - Theory · Physics 2007-05-23 Frank Krahe

The effective geometry and the gravitational coupling of nonabelian gauge and scalar fields on generic NC branes in Yang-Mills matrix models is determined. Covariant field equations are derived from the basic matrix equations of motions,…

High Energy Physics - Theory · Physics 2010-08-12 Harold Steinacker

In generalized Yang-Mills theories scalar fields can be gauged just as vector fields in a usual Yang-Mills theory, albeit it is done in the spinorial representation. The presentation of these theories is aesthetic in the following sense: A…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaves

We present a review of gravitating particle-like and black hole solutions with non-Abelian gauge fields. The emphasis is given to the description of the structure of the solutions and to the connection with the results of flat space soliton…

High Energy Physics - Theory · Physics 2011-08-11 Mikhail S. Volkov , Dmitri V. Gal'tsov

We present a generalized method to construct field strengths and gauge symmetries, which yield a Yang-Mills type action with Lie n-algebroid gauge symmetry. The procedure makes use of off-shell covariantization in a supergeometric setting.…

High Energy Physics - Theory · Physics 2019-12-06 Ursula Carow-Watamura , Marc Andre Heller , Noriaki Ikeda , Tomokazu Kaneko , Satoshi Watamura

We consider gauge fields associated with a semisimple Malcev algebra. We construct a gauge-invariant Lagrangian and found a solution of modified Yang-Mills equations in seven dimensions.

High Energy Physics - Theory · Physics 2015-05-13 E. K. Loginov , A. N. Grishkov

An ansatz is presented for a possible non-associative deformation of the standard Yang-Mills type gauge theories. An explicit algebraic structure for the deformed gauge symmetry is put forward and the resulting gauge theory developed. The…

High Energy Physics - Theory · Physics 2011-08-17 A. Ritz , G. C. Joshi

We investigate Lie symmetries of general Yang-Mills equations. For this purpose, we first write down the second prolongation of the symmetry generating vector fields, and compute its action on the Yang-Mills equations. Determining equations…

Mathematical Physics · Physics 2015-05-26 Louis Marchildon

This paper follows the previous work on generalized abelian gauge field theory of higher-order derivatives under rotor model and extends the study to the most generalized non-abelian case. We find that the rotor mechanism from the abelian…

General Physics · Physics 2022-04-11 B. T. T. Wong

Lagrangian of a classical conformal Yang-Mills field in the flat space of even dimension greater than or equal to six involves higher derivatives. We study Lagrangian formulation of the classical conformal Yang-Mills field by using…

High Energy Physics - Theory · Physics 2023-12-29 R. R. Metsaev

In the present paper we shall extend the gauge principle so that it will enlarge the original algebra of the Abelian gauge transformations found earlier in our studies of tensionless strings to the non-Abelian case. In this extension of the…

High Energy Physics - Theory · Physics 2009-11-11 George Savvidy