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Renormalizable N = 2 Supersymmetric Gauge Theories
Author(s) -
Marculescu S.
Publication year - 1988
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190360503
Subject(s) - multiplet , superfield , superspace , physics , anomaly (physics) , quantization (signal processing) , supersymmetric gauge theory , background field method , mathematical physics , gauge theory , renormalization , gauge (firearms) , feynman diagram , abelian group , supersymmetry , theoretical physics , quantum mechanics , mathematics , pure mathematics , archaeology , algorithm , history , spectral line
Renormalizable supersymmetric models of matter multiplets coupled to a Yang Mills multiplet are studied in the conventional N = 2 superspace. It is found that a consistent formulation of the Feynman rules in superspace requires the introduction of a compensator superfield in the matter sector. If the quantization is performed within the background superfield approach, the use of the compensator is confined to the quantum corrections. The ensuing ghost structure is analyzed and the non‐renormalization beyond one‐loop is demonstrated. We report an N = 2 superfield calculation of the one‐loop β‐function via the supercurrent anomaly and thereby derive as a byproduct the finiteness criterion for N = 2 non‐Abelian gauge theories.