We report on recent progress in the use of string techniques for the computation of field theory amplitudes. We show how one–loop renormalization constants in Yang–Mills theory can be computed using the open spinning string, we review the calculation of two–loop scalar amplitudes with the bosonic string, and we briefly indicate how the technique can be applied to the two–loop vacuum bubbles of ...

We consider (3 + 1)-dimensional N = 4 super Yang-Mills theory with a nonvanishing scalar Higgs vacuum expectation value, and compare this theory to AdS supergravity with branes in the bulk. We show that the one-loop effective potential for excitations of the Yang-Mills field agrees with the classical linearized potential for brane waves in the AdS picture in the limit of long wavelengths. This ...

Various aspects of super-space topology and N=l supersymmetry in 2+1 dimensions are explored. Non-Minimal super Yang-Mills theory is used to construct a gauge theory of the N=l super-Poincare’ algebra. A topological super Yang-Mills theory is given and used to compute elements of the cohomology classes of super-monopole moduli space. Submitted to Nuclear Physics B t This work is supported by th...

Matrix string theory (or more generally U-Duality) requires Super Yang-Mills theory to reflect a stringy degeneracy of BPS short multiplets. These are found as supersymmetric states in the Yang-Mills carrying (fractionated) momentum, or in some cases, instanton number. Their energies also agree with those expected from M(atrix) theory. A nice parallel also emerges in the relevant cases, between...

We propose a reformulation of SU(2) Yang-Mills theory in terms of new variables. These variables are appropriate for describing the theory in its infrared limit, and indicate that it admits knotlike configurations as stable solitons. As a consequence we arrive at a dual picture of the Yang-Mills theory where the short distance limit describes asymptotically free, massless point gluons and the l...

In this note a lately proposed gravity dual of noncommutative Yang-Mills theory is derived from the relations, recently suggested by Seiberg and Witten, between closed string moduli and open string moduli. The only new input one needs is a simple form of the running string tension as a function of energy. This derivation provides convincing evidence that string theory integrates with the hologr...

We derive p+1-dimensional (p=1,2) maximally supersymmetric U(N) Yang-Mills theory from the wrapped supermembrane on R11−p × T p in the light-cone gauge by using the matrix regularization. The elements of the matrices in the super Yang-Mills theory are given by the Fourier coefficients in the supermembrane theory. Although our approach never refers to both D-branes and superstring dualities, we ...

Two dimensional Yang-Mills theory has proved to be a surprisingly rich model, despite, or possibly because of, its simplicity and tractability both in classical and quantum forms. The purpose of this article is to give a largely self-contained introduction to classical and quantum Yang-Mills theory on the plane and on compact surfaces, along with its relationship to ChernSimons theory, illustra...

We solve Schrödinger's equation for the ground-state of four-dimensional Yang-Mills theory as an expansion in inverse powers of the coupling. Expectation values computed with the leading order approximation are reduced to a calculation in two-dimensional Yang-Mills theory which is known to confine. Consequently the Wilson loop in the four-dimensional theory obeys an area law to leading order an...

In this paper we constructed superloop space duality for a four dimensional supersymmetric Yang–Mills theory with N = 1 supersymmetry. This duality reduces to the ordinary loop space duality for the ordinary Yang–Mills theory. It also reduces to the Hodge duality for an abelian gauge theory. Furthermore, the electric charges, which are the sources in the original theory, appear as monopoles in ...