Possible mechanisms for gluon confinement in Yang-Mills theory in covariant gauges are discussed briefly. Implications for the infrared behavior of the Green’s functions are outlined. Results for the gluon and Faddeev-Popov ghost propagators from DysonSchwinger studies and lattice calculations are presented. The importance of the ghostgluon vertex in these studies is discussed. Numerical result...

In this paper we show that a particular twist of N = 4 super Yang-Mills in three dimensions with gauge group SU(2) possesses a set of classical vacua corresponding to the space of flat connections of the complexified gauge group SL(2, C). The theory also contains a set of topological observables corresponding to Wilson loops wrapping non-trivial cycles of the base manifold. This moduli space an...

The series of perturbative fluctuations around a multi-instanton contribution to a specific class of correlation functions of supercurrents in N = 4 supersymmetric SU(N) Yang–Mills theory is examined in the light of the AdS/CFT correspondence. Subject to certain plausible assumptions, we argue that a given term in the 1/N expansion in such a background receives only a finite number of perturbat...

We show that the QCD vacuum (without dynamical quarks) is a dual supercon-ductor at least in the low-energy region in the sense that monopole condensation does really occur. In fact, we derive the dual Ginzburg-Landau theory (i.e., dual Abelian Higgs model) directly from the SU(2) Yang-Mills theory by adopting the maximal Abelian gauge. The dual superconductor can be on the border between type ...

Starting with intersecting M2-branes in M-theory, the IIA supertube can be found by S compactification followed by a boost to the speed of light in the 11th dimension. A similar procedure applied to DonaldsonUhlenbeck-Yau instantons on C, viewed as intersecting membranes of D = 7 supersymmetric Yang-Mills (SYM) theory, yields (for finite boost) a new set of 1/4 BPS equations for D = 6 SYM-Higgs...

Starting from the Janus solution and its gauge theory dual, we obtain the dual gauge theory description of the cosmological solution by the procedure of doubleWick rotation. The coupling is driven either to zero or to infinity at the big-bang and big-crunch singularities, which are shown to be related by the S-duality symmetry. In the dual Yang-Mills theory description, these are non singular a...