β Scribed by L Bonora; P Pasti; M Tonin
No coin nor oath required. For personal study only.
We present an approach to quantum gauge theories formulated entirely on a superspace. We show that at the classical level the field equations are the same as in the usual Minkowskispace approach.
In particular the a-flatness conditions, which represent the BRS and anti-BRS covariance in the usual approach, appear as field equations. We show that the theory is renormalizable and the a-flatness conditions are stable under renormalization.
We speculate about the relevance of this approach to the confinement problem.
Recently we have proposed [ 1, 21 a new geometrical interpretation of the Faddeev-Popov (FP) ghost, antighost and auxiliary fields which appear in the Feynman-De Witt-F,addeev-Popov [ 3 ] recipe for quantizing non-abelian gauge theories. Subsequent work in this direction has been done in Refs. [4, 51. The mathematical framework suitable to describe these ideas has been investigated in Refs. 16-81. Let us recall briefly what this interpretation is. Consider a superspace Z: obtained by adding two Grassman coordinates B and s to the Minkowski space-time, and denote by G the Grassman-enlarged gauge group and by g its Lie modulo. ' In accordance with Ref. [ 51, a g-valued connection form in Z * This work is supported in part through funds provided by the U. S. Department of Energy (DOE) under Contrasct DE-AC02-76ERO-3069 and in part by INFN (Sezioni
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