Titlebook: Constructive Quantum Field Theory II; G. Velo,A. S. Wightman Book 1990 Plenum Press, New York 1990 Gauge theory.Renormalization group.Soli

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Constructive Gauge Theory II we refer to them. In [1] we have described the lattice regularizations of gauge field theories, and their basic general properties. The renormalization group approach has been applied to the lattice theories, and explained in detail for the small field approximation. Within this approximation the r

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Two-Dimensional Conformal Field Theory and Three-Dimensional Topologyo construct invariants of links imbedded in a general class of three-dimensional manifolds. After a general introduction, we discuss chiral algebras and their representation theory. Chiral vertices are introduced as analogues of Clebsch-Gordan operators in group theory. Braiding and fusing of chiral

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Quantum Physics and Gravitationom the title that I shall talk about superstrings I have to disappoint him right away. I share with many the expectation that after 60 years of continuous development we stand on the verge of a revolutionary change of the basic concepts of physical theory, that — in the terminology of Kuhn — a new p

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Geometry of Supersymmetryormulated as theorems. The present chapter plays a different role. It provides a mixture of motivation and formal calculation. Some of the materials is or can be made mathematical; the presentation, however, is distinctly that from physics. A mathematician may wish to read this chapter for an overvi

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Supersymmetry Breaking in Wess-Zumino Modelsmensional Wess-Zumino model in infinite volume. The supersymmetric interaction is |.′(.)|. + .(.).., where for the . 1 model .,. are real, while for the . 2 model .,. are ocmplex. We take . to be a polynomial of degree .¡ and scale it as .(Ф) → λ..(λФ) with λ small. If .′has .−1 distinct zeros, then

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