The spherically and cylindrically symmetric solutions of the SU (3) Yang-Mills theory are obtained. The corresponding gauge potential has the confining properties. It is supposed that: a) the spherically symmetric solution is a field distribution of the classical " quark " and in this sense it is similar to the Coulomb potential; b) the cylindrically symmetric solution describes a classical fie...

Conformal supergravity arises in presently known formulations of twistor-string theory either via closed strings or via gauge-singlet open strings. We explore this sector of twistor-string theory, relating the relevant string modes to the particles and fields of conformal supergravity. We use the twistor-string theory to compute some tree level scattering amplitudes with supergravitons. Since t...

Light–like Wilson loops and gauge invariance of Yang–Mills theory in 1+1 dimensions Abstract A light-like Wilson loop is computed in perturbation theory up to O(g 4) for pure Yang–Mills theory in 1+1 dimensions, using Feynman and light–cone gauges to check its gauge invariance. After dimensional regularization in intermediate steps, a finite gauge invariant result is obtained, which however doe...

A s recently as 2010, three groups received the J. J. Sakurai Prize for showing how spontaneous symmetry breaking explains the mechanism for generating vector boson masses, thus enabling the solution of one of the puzzles of the standard model of elementary particles. Since the Yang-Mills field strength incorporating a nonabelian feature is not only one of the cornerstones of the standard model...

The question of the role of the center of the gauge group in the phenomenon of confinement in Yang-Mills theory is addressed. The investigation is performed from the most general perspective of considering all possible choices for the gauge symmetry group. In this context, an interesting role is played by G(2) Yang-Mills theory: the simplest pure gauge theory with a trivial center and without ’...

Several exact, cylindrically symmetric solutions to Einstein's vacuum equations are given. These solutions were found using the connection between Yang-Mills theory and general relativity. Taking known solutions of the Yang-Mills equations (e.g. the topological BPS monopole solutions) it is possible to construct exact solutions to the general relativistic field equations. Although the general r...

It is shown that the Born-Infeld-type modification of the quadratic Yang-Mills action gives rise to classical particlelike solutions prohibited in the standard Yang-Mills theory. This becomes possible due to breaking of the scale invariance by the Born-Infeld nonlinearity. New classical glueballs, which are of a sphaleronic nature, exhibit a striking similarity to the Bartnik-McKinnon solutions...

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...

This is a short review of classical solutions with gravitating Yang-Mills fields in D > 4 spacetime dimensions. The simplest SO(4) symmetric particlelike and SO(3) symmetric vortex type solutions in the Einstein-Yang-Mills theory in D = 5 are considered, and their various generalizations with or without an event horizon, for other symmetries, in more general theories, and also in D > 5 are desc...

The effective action of N=2 Yang-Mills theory with adjoint matter is shown to be governed by an integrable spin model with spectral parameter on an elliptic curve. We sketch a route to deriving this effective dynamics from the underlying Yang-Mills theory. Natural generalizations of this structure to all N=2 models, and to string theory, are suggested.