Zero-dimensional field theory

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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38 pages, LaTeX

Scientific paper

10.1007/s100520100630

A study of zero-dimensional theories, based on exact results, is presented. First, relying on a simple diagrammatic representation of the theory, equations involving the generating function of all connected Green's functions are constructed. Second, exact solutions of these equations are obtained for several theories. Finally, renormalization is carried out. Based on the anticipated knowledge of the exact solutionsthe full dependence on the renormalized coupling constant is studied.

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