1992 Trieste Lectures on Topological Gauge Theory and Yang-Mills Theory
In these lecture notes we explain a connection between Yang-Mills theory on arbitrary Riemann surfaces and two types of topological
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2D Yang-Mills Theories, Gauge Orbit Space and The Path Integral Quantization
The role of a physical phase space structure in a classical and quantum dynamics of gauge theories is emphasized. In
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2D Yang-Mills Theory and Topological Field Theory
Contribution to the Proceedings of the International Congress of Mathematicians 1994. We review recent developments in the physics and mathematics
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Abelian and center gauges in continuum Yang-Mills-Theory
Abelian and center gauges are considered in continuum Yang-Mills theory in order to detect the magnetic monopole and center vortex
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Absence of Zero Energy States in Reduced SU(N) 3d Supersymmetric Yang Mills Theory
For the SU(N) invariant supersymmetric matrix model related to membranes in 4 space-time dimensions we argue that <Psi,chi> = 0
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A Causal Approach to Massive Yang-Mills Theories
We study quantized Yang-Mills theory with massive vector fields in the framework of causal perturbation theory. The most general form
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A Classification of Spherically Symmetric Static Solutions of SU(2) Einstein Yang Mills Equations with Non-negative Cosmological Constant
We categorize the global structure of spherically symmetric static solutions of Einstein SU(2) Yang Mills equations with positive cosmological constant
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A Comment on the Light-Cone Vacuum in 1+1 Dimensional Super-Yang-Mills Theory
The Discrete Light-Cone Quantization (DLCQ) of a supersymmetric gauge theory in 1+1 dimensions is discussed, with particular attention given to
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A Confining Non-Local Four-Fermi Interaction from Yang-Mills Theory in a Stochastic Background
We derive a non-local four-fermi term with a linear potential from Yang-Mills Theory in a stochastic background. The stochastic background
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A Confining String Theory Derivable from Yang-Mills Theory due to a Novel Vacuum Condensate
We discuss within the weak-field approximation and the derivative expansion how the area law of the Wilson loop follows directly
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A Correspondence Between Supersymmetric Yang-Mills and Supergravity Theories
AdS/CFT-correspondence establishes a relationship between supersymmetric gravity (SUGRA) on Anti-de-Sitter (AdS) space and supersymmetric Yang-Mills (SYM) theory which is conformaly
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A Curious Relation Between Gravity and Yang-Mills Theories
We find that Euclidian or Minkowski gravity in d dimensions can be formally expressed as the restriction to a slice
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A DK Phase Transition in q-Deformed Yang-Mills on S^2 and Topological Strings
We demonstate the existence of a large $N$ phase transition with respect to the 't Hooft coupling in q-deformed Yang-Mills
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A Down to Earth Attempt at Determining the Low Energy Effective Action of N=2 Supersymmetric Yang-Mills Theory
We review a detailed investigation of the perturbative part of the low-energy effective action of N=2 supersymmetric Yang-Mills theory in
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A Duality for Yang-Mills Moduli Spaces on Noncommutative Manifolds
Studied are the moduli spaces of Yang-Mills connections on finitely generated projective modules associated with noncommutative flows. It is actually
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Affine Lie Algebras and S-Duality of N=4 Super Yang-Mills Theory for ADE Gauge Groups on K3
We attempt to determine the partition function of ${\cal N}=4$ super Yang-Mills theory for $ADE$ gauge groups on $K3$ and
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Algebraic Renormalization: perturbative twisted considerations on topological Yang-Mills theory and on N=2 supersymmetric gauge theories
Lectures given at the First School on Field Theory and Gravitation, Vitória, Esp\'ırito Santo, Brazil, 15-19 April, 1997.
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Algebraic structure of Yang-Mills theory
In the present paper we analyze algebraic structures arising in Yang-Mills theory. The paper should be considered as a part
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All-orders finite $N=1$ super-Yang-Mills Theories
I present a criterion for all-order finiteness in $N=1$ SYM theories. The structure of the supercurrent anomaly, the Callan-Symanzik equation
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Analogue of black string in the Yang--Mills gauge theory
The classical Yang--Mills equations are analyzed within the geometrical framework of an effective gravity theory. Exact analytical solutions are derived
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Analysis of constraints in light-cone version of SU(2) Yang-Mills mechanics
We study the classical dynamics of mechanical model obtained from the light-cone version of SU(2) Yang-Mills field theory under the
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Analytical approach to nonperturbative Yang-Mills thermodynamics
An analytical and inductive approach to hot SU(N) Yang-Mills dynamics is developed. For N=2,3 pressure and energy density are pointwise
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An introduction to generalized Yang-Mills theories
In generalized Yang-Mills theories scalar fields can be gauged just as vector fields in a usual Yang-Mills theory, albeit it
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A Non-Technical Introduction to Confinement and N=2 Globally Supersymmetric Yang-Mills Gauge Theories
The aim of this talk is to give a brief introduction to the problem of confinement in QCD and to
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