On the Renormalization of Theories of a Scalar Chiral Superfield

Rosten, Oliver J. (2008) On the Renormalization of Theories of a Scalar Chiral Superfield. (Preprint)

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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 proven 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 β-function coefficients, to illustrate the ease of use of the formalism, it is shown that the β-function in the massless case does not receive any nonperturbative power corrections.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 13:47
Last Modified: 15 Dec 2022 08:31
URI: https://dair.dias.ie/id/eprint/504

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