Reduction of Coupling Parameters in Quantum Field Theories

Details Reduction of Coupling Parameters in Quantum Field Theories Reduction of Coupling Parameters in Quantum Field Theories

2000-12-18

arxiv.org/abs/hep-th/0012162v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, latex, for the Encyclopedia of Supersymmetry, Kluwer

Scientific paper

A concise survey is given of the general method of reduction in the number of coupling parameters. Theories with several independent couplings are related to a set of theories with a single coupling. The reduced theories may or may not have particular symmetries. A few have asymptotic power series expansions, others contain non-integer powers and/or logarithmic factors. An example is given with two power series solutions, one with N = 2 Supersymmetry, and one with no known symmetry. In a second example, the reduced Yukawa coupling of the superpotential in a dual magnetic supersymmetric gauge theory is uniquely given by the square of the magnetic gauge coupling with a known factor.

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