Covariant Schwinger terms

Abstract

There exist two versions of the covariant Schwinger term in the literature. They only differ by a sign. However, we shall show that this is an essential difference. We shall carefully (taking all signs into account) review the existing quantum field theoretical computations for the covariant Schwinger term in order to determine the correct expression.Comment: 26 pages, Latex, some references adde

Modified Partition Functions, Consistent Anomalies and Consistent Schwinger Terms

“…Therefore, using the idea of modified partition functions to extract the gauge anomalies, the crucial role of axial symmetry in anomalous behaviors is diminished. Moreover, since the consistent anomalous terms defined by Stora-Zumino descent equations [27][28][29] have cohomological interpretations [27,[30][31][32][33], we conclude that modified partition functions lead to a cohomological description of path integral quantization. Gauge invariance asserts that Z M (A) is constant over the fibers of the affine space of all gauge fields A modulo gauge transformations [23].…”

Axial symmetry, anti-BRST invariance, and modified anomalies

“…The geometric description of Fddeev-Popov quantization, not only illustrates the canonical structures of ghost fields and BRST transformations, but it results in simple proofs for their substantial behaviors [37][38][39]. To see this, assume that M , the space-time, is an even dimensional spin manifold.…”

Sur Les Origines Du Cocycle De Virasoro

“…Il peut en outre s'exprimer en terme d'opérateurs pseudo-différentiels et du résidu de Wodzicki. Un exposé très clair de tous ces résultats se trouve dans les travaux de C. Ekstrand [1].…”