We propose a Matrix Theory approach to Romans’ massive Type IIA supergravity. It is obtained by applying the procedure of Matrix Theory compactifications to Hull’s proposal of the Massive Type IIA String Theory as M-Theory on a twisted torus. The resulting Matrix Theory is a super-Yang Mills theory on large N three-branes with a space dependent non-commutativity parameter, which is also indepen...

It is shown that a pair of vortex and anti-vortex is completely screened in 2 + 1 dimensional Yang-Mills theory and 3 + 1 dimensional Yang-Mills theory in the strong coupling limit, based on the recent conjecture of Maldacena. This is consistent with the fact that these theories exhibit confinement.

Two-loop Gell-Mann–Low function of N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives. Abstract Two-loop Gell-Mann–Low function is calculated for N=1 supersymmetric Yang– Mills theory, regularized by higher covariant derivatives. The integrals, which define it, are shown to be reduced to total derivatives and can be easily calculated analytically .

From its inception in statistical physics to its role in the construction and in the development of the asymmetric Yang-Mills phase in quantum field theory, the notion of spontaneous broken symmetry permeates contemporary physics. This is reviewed with particular emphasis on the conceptual issues. Contribution to “Fifty years of Yang Mills theory”, editor G. ’t Hooft, World Scientific.

It is shown that the SU (2) Yang-Mills theory in 3-dimensional Riemann-Cartan space-time can be completely reformulated as a gravity-like theory in terms of gauge invariant variables. The resulting Yang-Mills induced equations are found, and it is demonstrated that they can be derived from a torsion-square type of action.

An explicit canonical transformation is constructed to relate the physical subspace of Yang-Mills theory to the phase space of the ADM variables of general relativity. This maps 3+1 dimensional Yang-Mills theory to local evolution of metrics on 3 manifolds. PACS No.(s) 11.15-q, 11.15 Tk Typeset using REVTEX ∗e-mail:[email protected] ‡e-mail:[email protected]

The 3 + 1 dimensional Yang-Mills theory with the Pontryagin term included is studied on manifolds with a boundary. Based on the geometry of the universal bundle for Yang-Mills theory, the symplectic structure of this model is exhibited. The topological type of the quantization line bundles is shown to be determined by the torsion elements in the cohomology of the gauge orbit space.

We give an elementary introduction to the recent solution of N = 2 supersymmetric Yang-Mills theory. In addition, we review how it can be re-derived from string duality. We give an elementary introduction to the recent solution of N = 2 supersymmetric Yang-Mills theory. In addition, we review how it can be re-derived from string duality.

Using a nonlocal field transformation for the gauge field known as Cho–Faddeev–Niemi–Shabanov decomposition we derive a family of infinitely many conserved currents in the self-dual sector of SU(2) Yang-Mills theory. Keyword: Integrability, Conservation Laws, Self-dual Yang-Mills theory PACS: 05.45.Yv

In this paper, a procedure which gives Euclidean solutions of 3-dimensional Einstein-Yang-Mills equations when one has solutions of the Einstein equations is proposed. The method is based on reformulating Yang-Mills theory in such a way that it becomes a gravity. It is applied to find black hole solutions of the coupled Einstein Yang-Mills equations.