An Application of Half-Order Differential Operators to Four-Dimensional Off-Shell Super Yang-Mills Theory

Abstract

Gauge vector and auxiliary scalar bosons of four-dimensional N=2 off-shell super yang-Mills theory are represented in the form of spinors ("spinorization method") by employing the half-order differential operators in the 1-loop level. The Klein-Gordon actions of these bosonic fields are expressed in the form of the Dirac one up to surface terms and the remaining N=1 SUSY around the monopole or antimonopole becomes manifest.