/ 93 06 08 4 v 2 4 F eb 1 99 4 The SU ( N ) Wilson Loop Average in 2 Dimensions

ar X iv : h ep - t h / 99 06 09 6 v 1 1 4 Ju n 19 99 Classification of Two Dimensional N = 4 Superconformal Symmetries

Classification of N = 4 superconformal symmetries in two dimensions is reexamined. It is proposed that apart from SU(2) and SU(2)×SU(2)×U(1) their Kac-Moody symmetry can also be SU(2) × (U(1)) 4. These supercon-formal symmetries and corresponding algebras are named small, large and middle ones respectively. Operator product expansions for the middle algebra are derived. Complete free field real...

F eb 1 99 6 Phase structure and confinement properties of noncompact gauge theories II . Z ( N ) Wilson loop and effective noncompact model

Phase structure and confinement properties of noncompact gauge theories II. Z(N) Wilson loop and effective noncompact model Abstract An approach to studying lattice gauge models in the weak coupling region is proposed. Conceptually, it is based on the crucial role of the original Z(N) symmetry and the invariant gauge group measure. As an example, we calculate an effective model from the compact...

ar X iv : a st ro - p h / 99 02 06 2 v 1 4 F eb 1 99 9 SOURCES OF RELATIVISTIC JETS IN THE GALAXY

ar X iv : h ep - t h / 93 10 05 4 v 2 3 F eb 1 99 4 Hilbert Spaces for Nonrelativistic and Relativistic “ Free ” Plektons ( Particles with Braid Group Statistics ) ∗

Using the theory of fibre bundles, we provide several equivalent intrinsic descriptions for the Hilbert spaces of n “free” nonrelativistic and relativistic plektons in two space dimensions. These spaces carry a ray representation of the Galilei group and a unitary representation of the Poincaré group respectively. In the relativistic case we also discuss the situation where the braid group is r...

ar X iv : h ep - l at / 9 90 20 05 v 2 4 F eb 1 99 9 Monopole Clustering and Color Confinement in the Multi - Instanton System

We study color confinement properties of the multi-instanton system, which is assumed to carry the essence of the nonperturbative QCD vacuum. We also investigate the feature of monopoles by taking the maximally abelian gauge considering the correspondence between the monopole and the instanton. The feature of monopole trajectories changes drastically with the instanton density. At the high inst...