Preregularization and the structure of loop-momentum ambiguities within quantum corrections to the supercurrent (original) (raw)

Physical Review D, 1986

Abstract

The anomaly in the supercurrent amplitude Smunu is analyzed to one-loop order for N=1 supersymmetry in the Wess-Zumino gauge within the framework of preregularization, in which loop-momentum-routing ambiguities percolate into shift-of-integration-variable surface terms peculiar to exactly four space-time dimensions. We find the supercurrent anomaly to be a consequence of the inability of such ambiguities (within a demonstrably finite set of quantum corrections) to absorb violations of gauge invariance (qnuSmunu!=0) and supersymmetry (∂muSmunu≡∂.S!=0) simultaneously, a feature quite similar to the inability of VVA-triangle ambiguities to absorb violations of gauge invariance and the axial-vector-current Ward identity simultaneously. We also find that if gauge invariance is preserved, the contribution to the supercurrent anomaly obtained from O(g2) quantum corrections to the supercurrent involves no infrared or ultraviolet infinities and resides in ∂.S rather than gamma.S. This last result is a consequence of maintaining exactly four space-time dimensions, as is necessary for momentum-routing ambiguities to appear at all in the quantum corrections. The connection between our results and similar results obtained from an Adler-Rosenberg symmetry argument is examined in detail.

D. McKeon hasn't uploaded this paper.

Let D. know you want this paper to be uploaded.

Ask for this paper to be uploaded.