Background field calculations and nonrenormalization theorems in 4d supersymmetric gauge theories and their low-dimensional descendants

Abstract

We analyze the structure of multiloop supergraphs contributing to the effective Lagrangians in 4d supersymmetric gauge theories and in the models obtained from them by dimensional reduction. When d=4, this gives the renormalization of the effective charge. For d < 4, the low-energy effective Lagrangian describes the metric on the moduli space of classical vacua. These two problems turn out to be closely related. In particular, we establish the relationship between the 4d nonrenormalization theorems (in minimal and extended supersymmetric theories) and their low--dimensional counterparts.

Additional comments and references are added, particularly, on the gauge dependence

References in corpus (5)

• Effective Lagrangians for (0+1) and (1+1) dimensionally reduced versions of D=4 N=2 SYM theory
• Low--dimensional sisters of Seiberg-Witten effective theory
• Cross-Order Relations in N=4 Supersymmetric Gauge Theories
• Two-Loop Diagrammatics in a Self-Dual Background
• Effective Lagrangian for 3d N=4 SYM theories for any gauge group and monopole moduli spaces

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