The flux tube solution in the Euclidean spacetime with the color longitudinal electric field in the SU(2) Yang Mills Higgs theory with broken gauge symmetry is found. Some arguments is given that this flux tube is a pure quantum object in the SU(3) quantum theory reduced to the SU(2) Yang Mills Higgs theory.

The coulomb branch of N = 4 supersymmetric Yang-Mills gauge theories in d = 2 + 1 is studied. A direct connection between gauge theories and monopole moduli spaces is presented. It is proposed that the hyper-Kähler metric of supersymmetric N = 4 SU(N) Yang-Mills theory is given by the charge N centered moduli space of BPS monopoles in SU(2). The theory is compared to N = 2 supersymmetric Yang-M...

In this Letter, we propose a model which is equivalent to the Yang-Mills theory at long distances but for which all symmetries are realized linearly. On top of the gauge and Fadeev-Popov ghosts fields, the model presents several massive fields, all of which can be merged in a unique vector field with support in a curved superspace. The equivalence of this model with the gauge-fixed Yang-Mills t...

A globally converging numerical method to solve coupled sets of non-linear integral equations is presented. Such systems occur e.g. in the study of Dyson-Schwinger equations of Yang-Mills theory and QCD. The method is based on the knowledge of the qualitative properties of the solution functions in the far infrared and ultraviolet. Using this input, the full solutions are constructed using a gl...

Quantum Yang–Mills theory and the Wilson loop can be rewritten identically in terms of local gauge-invariant variables being directly related to the metric of the dual space. In this formulation, one reveals a hidden high local symmetry of the Yang–Mills theory, which mixes up fields with spins up to J = N for the SU(N) gauge group. In the simplest case of the SU(2) group the dual space seems t...

We determine the nilpotent BRST and anti-BRST transformations for the Cho–Faddeev-Niemi variables for the SU(2) Yang-Mills theory based on the new interpretation given in the previous paper of the Cho–Faddeev-Niemi decomposition. This gives a firm ground for performing the BRST quantization of the Yang–Mills theory written in terms of the Cho–Faddeev-Niemi variables. We propose also a modified ...

In string theory, D-branes can be expressed as a configuration of infinitely many lower dimensional D-branes. Using this relation, the worldvolume theory of D-branes can be regarded as the worldvolume theory of the infinitely many lower dimensional branes. In the description in terms of the lower dimensional branes, some of the worldvolume coordinates become noncommutative. Actually this noncom...

A U(1) BF–Yang–Mills theory on noncommutative R4 is presented and in this formulation the U(1) Yang–Mills theory on noncommutative R4 is seen as a deformation of the pure BF theory. Quantization using BRST symmetry formalism is discussed and Feynman rules are given. Computations at one–loop order have been performed and their renormalization studied. It is shown that the U(1) BFYM on noncommuta...

Four dimensional Yang-Mills theory formulated through an action on twistor space has a larger gauge symmetry than the usual formulation, which in previous work was shown to allow a simple gauge transformation between text-book perturbation theory and the Cachazo-Svrček-Witten rules. In this paper we study non-supersymmetric twistor Yang-Mills theory at loop level using the background field meth...

We study the thermodynamics of the large N non-commutative super Yang-Mills theory in the strong ’t Hooft coupling limit in the spirit of AdS/CFT correspondence. Although the thermodynamic quantities of nearextremal D3-branes with NS B fields, which are dual gravity configurations of the non-commutative N = 4 super Yang-Mills theory, are the same as those without B fields, there are some differ...