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It is well known that there are no static non-Abelian monopole solutions in pure Yang-Mills theory on Minkowski space R^{3,1}. We show that such solutions exist in SU(N) gauge theory on the spaces R^2\times S^2 and R^1\times S^1\times S^2…

高能物理 - 理论 · 物理学 2008-11-26 Alexander D. Popov

We consider pure $SU(2)$ Yang-Mills theory when the space is compactified to a 3-dimensional sphere with finite radius. The Euclidean classical self-dual solutions of the equations of motion (the instantons) and the static finite energy…

高能物理 - 理论 · 物理学 2008-11-26 A. Smilga

We analyze the spectrum of dyons in N=4 supersymmetric Yang-Mills theory with gauge group SU(3) spontaneously broken down to U(1)xU(1). The Higgs fields select a natural basis of simple roots. Acting with S-duality on the W-boson states…

高能物理 - 理论 · 物理学 2009-10-30 Jerome P. Gauntlett , David A. Lowe

We consider pure SU(2) Yang-Mills theory on four-dimensional de Sitter space dS$_4$ and construct a smooth and spatially homogeneous magnetic solution to the Yang-Mills equations. Slicing dS$_4$ as ${\mathbb R}\times S^3$, via an…

高能物理 - 理论 · 物理学 2017-08-16 Tatiana A. Ivanova , Olaf Lechtenfeld , Alexander D. Popov

In the previous paper, we have shown the existence of magnetic monopoles in the pure $SU(2)$ Yang--Mills theory with a gauge-invariant mass term for the gluon field being introduced. In this paper, we extend our previous construction of…

高能物理 - 理论 · 物理学 2020-06-24 Shogo Nishino , Kei-Ichi Kondo

We present solutions of the Yang-Mills equation on cylinders $\mathbb R\times G/H$ over coset spaces with Sasakian structure and odd dimension $2m+1$. The gauge potential is assumed to be $SU(m)$-equivariant, parametrized by two real,…

高能物理 - 理论 · 物理学 2015-12-14 Maike Tormählen

We consider Euclidean SU(N) Yang-Mills theory on the space GxR, where G is a compact semisimple Lie group, and introduce first-order BPS-type equations which imply the full Yang-Mills equations. For gauge fields invariant under the adjoint…

高能物理 - 理论 · 物理学 2008-12-18 Tatiana A. Ivanova , Olaf Lechtenfeld

We find a two-parameter family of solutions of the Yang-Mills equations for gauge group SO(1,3) on Minkowski space by foliating different parts of it with non-compact coset spaces with SO(1,3) isometry. The interior of the lightcone is…

高能物理 - 理论 · 物理学 2022-11-16 Kaushlendra Kumar , Olaf Lechtenfeld , Gabriel Picanço Costa , Jona Röhrig

We show that a non-trivial topological effect breaks the conformal invariance of pure Yang-Mills theory. Thus it is possible that classic particle-like solutions exists in pure non-Abelian Yang-Mills theory. We find a static, non-singular…

高能物理 - 理论 · 物理学 2007-05-23 X. -J. Wang , M. -L. Yan

We construct various exact analytical solutions of the $SO(3)$ BMN matrix model that correspond to rotating fuzzy spheres and rotating fuzzy tori.These are also solutions of Yang Mills theory compactified on a sphere times time and they are…

高能物理 - 理论 · 物理学 2015-06-16 David Berenstein , Eric Dzienkowski , Robin Lashof-Regas

We investigate the large N reduced model of gauge theory on a curved spacetime through the plane wave matrix model. We formally derive the action of the N=4 supersymmetric Yang-Mills theory on R \times S^3 from the plane wave matrix model…

高能物理 - 理论 · 物理学 2011-04-28 Yoshihisa Kitazawa , Koichiro Matsumoto

We simulate a supersymmetric matrix model obtained from dimensional reduction of 4d SU(N) super Yang-Mills theory. The model is well defined for finite N and it is found that the large N limit obtained by keeping g^2 N fixed gives rise to…

高能物理 - 理论 · 物理学 2007-05-23 J. Ambjorn , K. N. Anagnostopoulos , W. Bietenholz , T. Hotta , J. Nishimura

We present new spherically symmetric solutions of an SU(2) Einstein-Yang-Mills model coupled to a doublet of scalar fields. Sequences of asymptotically flat, Yang-Mills-boson star-type configurations are constructed numerically by…

高能物理 - 理论 · 物理学 2009-11-10 Yves Brihaye , Betti Hartmann , Eugen Radu

We construct an energy-momentum tensor on the lattice which satisfies the appropriate Ward Identities (WIs) and has the right trace anomaly in the continuum limit. It is defined by imposing suitable WIs associated to the Poincare`…

高能物理 - 格点 · 物理学 2015-06-17 Leonardo Giusti , Michele Pepe

We construct the 4-dimensional ${\cal N}=\frac12$ and ${\cal N}=1$ inhomogeneously mass-deformed super Yang-Mills theories from the ${\cal N} =1^*$ and ${\cal N} =2^*$ theories, respectively, and analyse their supersymmetric vacua. The…

高能物理 - 理论 · 物理学 2020-12-30 Yoonbai Kim , O-Kab Kwon , D. D. Tolla

In the low energy domain of four-dimensional SU(2) Yang-Mills theory the spin and the charge of the gauge field can become separated from each other. The ensuing field variables describe the interacting dynamics between a version of the…

高能物理 - 理论 · 物理学 2008-11-26 Ludvig D. Faddeev , Antti J. Niemi

We investigate Non-Linear Plane-Wave solutions of the classical Minkowskian Yang-Mills (YM) equations of motion. By imposing a suitable ansatz which solves Gauss' law for the $SU(3)$ theory, we derive solutions which consist of Jacobi…

高能物理 - 理论 · 物理学 2016-04-13 A. Tsapalis , E. P. Politis , X. N. Maintas , F. K. Diakonos

We discuss bosonic and supersymmetric Yang-Mills matrix models with compact semi-simple gauge group. We begin by finding convergence conditions for the partition and correlation functions. Moving on, we specialise to the SU(N) models with…

高能物理 - 理论 · 物理学 2007-05-23 Peter Austing

he Wu-Yang monopole for pure SU(2) Yang-Mills theory is revisited. New classical solutions with finite energy are found for a generalized Wu-Yang configuration. Our method relies on known asymptotic series solutions and explores the…

高能物理 - 理论 · 物理学 2010-04-21 J. A. O. Marinho , O. Oliveira , B. V. Carlson , T. Frederico

We show how the fields and particles of the standard model can be naturally realized in noncommutative gauge theory. Starting with a Yang-Mills matrix model in more than 4 dimensions, a SU(n) gauge theory on a Moyal-Weyl space arises with…

高能物理 - 理论 · 物理学 2010-05-12 Harald Grosse , Fedele Lizzi , Harold Steinacker
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