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We investigate the classical dynamics of the massive SU(2) Yang-Mills field in the framework of multiple scale perturbation theory. We show analytically that there exists a subset of solutions having the form of a kink soliton, modulated by…

High Energy Physics - Theory · Physics 2013-07-01 X. N. Maintas , C. E. Tsagkarakis , F. K. Diakonos , D. J. Frantzeskakis

We find wide class of exact solutions of Yang-Mills-Chern-Simons theory coupled to an external source, in terms of doubly periodic Jacobi elliptic functions. The obtained solutions include localized solitons, trigonometric solutions, pure…

High Energy Physics - Theory · Physics 2015-05-14 Vivek M. Vyas , T. Soloman Raju , T. Shreecharan

We present exact solutions in Einstein-Yang-Mills-Dirac theories with gauge groups SU(2) and SU(4) in Robertson-Walker space-time $R \times S^3 $, which are symmetric under the action of the group SO(4) of spatial rotations. Our approach is…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Gerd Rudolph , Torsten Tok , Igor P. Volobuev

We present arguments for the existence of self-dual Yang-Mills instantons for several spherically symmetric backgrounds with Euclidean signature. The time-independent Yang-Mills field has finite action and a vanishing energy momentum tensor…

High Energy Physics - Theory · Physics 2009-11-11 Yves Brihaye , Eugen Radu

We study by numerical methods a particular kind of SU(N) Yang-Mills solutions of the Euclidean equations of motion which appear on the torus when twisted boundary conditions are imposed. These are instanton-like configurations with the…

High Energy Physics - Lattice · Physics 2009-10-31 Alvaro Montero

We consider generalized self-duality equations for U(2r) Yang-Mills theory on R^8 with quaternionic structure. We employ the extended ADHM method in eight dimensions to construct exact soliton solutions of the low-energy effective theory of…

High Energy Physics - Theory · Physics 2008-11-26 E. K. Loginov

In the context of the local gauge group $SU(3)_c\otimes SU(3)_L\otimes U(1)_X$, we look for possible four family models, where all the particles carry ordinary electric charges. Thirteen different anomaly-free fermion structures emerge, out…

High Energy Physics - Phenomenology · Physics 2014-11-21 Richard H. Benavides , William A. Ponce , Yithsbey Giraldo

We investigate the self-dual Yang-Mills gauge configurations on $R^3\times S^1$ when the gauge symmetry SU(2) is broken to U(1) by the Wilson loop. We construct the explicit field configuration for a single instanton by the Nahm method and…

High Energy Physics - Theory · Physics 2016-08-25 Kimyeong Lee , Changhai Lu

We show that the four derivative terms in the effective action of three-dimensional N=8 Yang-Mills theory are determined by supersymmetry. These terms receive both perturbative and non-perturbative corrections. Using our technique for…

High Energy Physics - Theory · Physics 2007-05-23 Sonia Paban , Savdeep Sethi , Mark Stern

We propose a modification of the Skyrme model that supports a self-dual sector possessing exact non-trivial finite energy solutions. The action of such a theory possesses the usual quadratic and quartic terms in field derivatives, but the…

High Energy Physics - Theory · Physics 2017-08-02 L. A. Ferreira

The Skyrme-Faddeev-Niemi (SFN) model which is an O(3) $\sigma$ model in three dimensional space up to fourth-order in the first derivative is regarded as a low-energy effective theory of SU(2) Yang-Mills theory. One can show from the…

High Energy Physics - Theory · Physics 2008-12-19 Nobuyuki Sawado , Noriko Shiiki , Shingo Tanaka

We consider SU(N) Yang-Mills theories in 2n+1 Euclidean dimensions coupled to an even flavour-number of Dirac fermions. After integrating out the fermions the wave functional for the effective Yang-Mills theory inherits a non-trivial…

High Energy Physics - Theory · Physics 2007-05-23 Domenico Giulini

It is presented the general method that allows to formulate 4D $SU(N)$ Yang - Mills theory in terms of only local gauge invariant variables. For the case N=2, that is discussed in details, this gauge invariant formulation appears to be very…

High Energy Physics - Theory · Physics 2011-07-19 F. A. Lunev

The (2k+2)-dimensional Einstein-Yang-Mills equations for gauge group SO(2k) (or SU(2) for k=2 and SU(3) for k=3) are shown to admit a family of spherically-symmetric magnetic monopole solutions, for both zero and non-zero cosmological…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , P. K. Townsend

We perform a systematic analysis of the D-brane charges associated with string theory realizations of d=3 gauge theories, focusing on the examples of the N=4 supersymmetric U(N)xU(N+M) Yang-Mills theory and the N=3 supersymmetric…

High Energy Physics - Theory · Physics 2010-12-15 Ofer Aharony , Akikazu Hashimoto , Shinji Hirano , Peter Ouyang

We study spherically symmetric solutions of an $SO(5)$ Chern-Simons--Yang-Mills-Higgs system in $3+1$ dimensions. The Chern-Simons densities are defined in terms of both Yang-Mills fields and a $5$-component isomultiplet Higgs. The…

High Energy Physics - Theory · Physics 2015-06-17 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

The thermodynamics of four-dimensional SU(2) N=2 super-Yang-Mills theory is examined in both high and low temperature regimes. At low temperatures, compelling evidence is found for two distinct equilibrium states related by a spontaneously…

High Energy Physics - Theory · Physics 2010-04-23 Steve Paik , Laurence G. Yaffe

The geometrical structure and the quantum properties of the recently proposed harmonic space action describing self-dual Yang-Mills (SDYM) theory are analyzed. The geometrical structure that is revealed is closely related to the twistor…

High Energy Physics - Theory · Physics 2009-09-29 Neil Marcus , Yaron Oz , Shimon Yankielowicz

For gauge groups SO$(n{+}1)$, SU$(m{+}1)$ and Sp$(\ell{+}1)$, we construct equivariant Yang-Mills solutions on de Sitter space in $n{+}1$, $2(m{+}1)$ and $4(\ell{+}1)$ spacetime dimensions. The latter is conformally mapped to a finite…

High Energy Physics - Theory · Physics 2018-10-17 Olaf Lechtenfeld , Gönül Ünal

Anomalous quantization of the Electromagnetic field allows non-trivial (anti) self-dual configurations to exist in four-dimensional Euclidian space-time. These instanton-like objects are described as massless spinor particles.

High Energy Physics - Theory · Physics 2007-08-20 Michail Stoilov
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