We propose a new version of SU(N) Yang-Mills theory reformulated in terms of new field variables which are obtained by a nonlinear change of variables from the original Yang-Mills gauge field. The reformulated Yang-Mills theory enables us to study the low-energy dynamics by explicitly extracting the topological degrees of freedom such as magnetic monopoles and vortices to clarify the mechanism ...

This is a selfcontained set of lecture notes on instantons in (super) Yang-Mills theory in four dimensions and in quantum mechanics. First the basics are derived from scratch: the regular and singular one-instanton solutions for Yang-Mills theories with gauge groups SU(2) and SU(N), their bosonic and fermionic zero modes, the path integral instanton measure, and supersymmetric Yang-Mills theori...

Deep inelastic scattering off the strongly coupledN = 4 supersymmetric Yang– Mills plasma at finite temperature can be computed within the AdS/CFT correspondence, with results which are suggestive of a parton picture for the plasma. Via successive branchings, essentially all partons cascade down to very small values of the longitudinal momentum fraction x and to transverse momenta smaller than ...

We study spherically and axially symmetric monopoles of the SU(2) EinsteinYang-Mills-Higgs-dilaton (EYMHD) system with a new coupling between the dilaton field and the covariant derivative of the Higgs field. This coupling arises in the study of (4+ 1)dimensional vortices in the Einstein-Yang-Mills (EYM) system. [email protected] [email protected]

Recent extreme events show that Twitter, a micro-blogging service, is emerging as the dominant social reporting tool to spread information on social crises. It is elevating the online public community to the status of first responders who can collectively cope with social crises. However, at the same time, many warnings have been raised about the reliability of community intelligence obtained t...

Knowledge of internal defects within hardwood logs can be useful even prior to a log's entry into the sawmill. It is in the log yard where the first important decisions are made about processing. First, based upon perceived quality, logs may be sorted as veneer logs or as high-quality sawlogs and sold to domestic veneer mills or for export . Second, roundwood may be bucked into smaller logs to ...

We give a new way of looking at the Cho–Faddeev–Niemi (CFN) decomposition of the Yang-Mills theory to answer how the enlarged local gauge symmetry respected by the CFN variables is restricted to obtain another Yang-Mills theory with the same local and global gauge symmetries as the original Yang-Mills theory. This may shed new light on the fundamental issue of the discrepancy between two theori...

We study the suitability of complex Wilson loop variables as (generalized) coordinates on the physical phase space of SU (2)-Yang-Mills theory. To this end, we construct a natural one-to-one map from the physical phase space of the Yang-Mills theory with compact gauge group G to a subspace of the physical configuration space of the complex G C-Yang-Mills theory. Together with a recent result by...

In the context of D-dimensional Euclidean gravity, we define the natural generalisation to D-dimensions of the self-dual Yang-Mills equations, as duality conditions on the curvature 2-form of a Rie-mannian manifold. Solutions to these self-duality equations are provided by manifolds of SU (2), SU (3), G 2 and Spin(7) holonomy. The equations in eight dimensions are a master set for those in lowe...

We consider particle-like and black holes solutions of the Einstein-Yang-Mills system with positive cosmological constant in d > 4 spacetime dimensions. These configurations are spherically symmetric and present a cosmological horizon for a finite value of the radial coordinate, approaching asymptotically the de Sitter background. In the usual Yang–Mills case we find that the mass of these solu...