On the Renormalization of Theories of a Scalar Chiral Superfield

Abstract

An exact renormalization group for theories of a scalar chiral superfield is formulated, directly in four dimensional Euclidean space. By constructing a projector which isolates the superpotential from the full Wilsonian effective action, it is shown that the nonperturbative nonrenormalization theorem follows, quite simply, from the flow equation. Next, it is argued that there do not exist any physically acceptable non-trivial fixed points. Finally, the Wess-Zumino model is considered, as a low energy effective theory. Following an evaluation of the one and two loop beta-function coefficients, to illustrate the ease of use of the formalism, it is shown that the beta-function in the massless case does not receive any nonperturbative power corrections.

52 pages, 4 figures; v2: 57 pages - refs added and some minor corrections/clarifications made; v3: published in JHEP - some further clarifications made

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• A Resummable beta-Function for Massless QED
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• Critical behavior of supersymmetric O(N) models in the large-N limit
• N=1 Wess Zumino Model in d=3 at zero and finite temperature
• Phases of supersymmetric O(N) theories
• Anti-brane uplift instability from goldstino condensation
• On Functional Representations of the Conformal Algebra
• Equivalent Fixed-Points in the Effective Average Action Formalism
• Critical Wess-Zumino models with four supercharges from the functional renormalization group
• The two dimensional N=(2,2) Wess-Zumino Model in the Functional Renormalization Group Approach