We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
QED Fermi Fields as Operator-Valued Distributions and Anomalies.
- Authors
Grangé, P.; Werner, E.
- Abstract
The treatment of fields as operator-valued distributions (OPVD) is recalled with the emphasis on the importance of causality following the work of Epstein and Glaser. Gauge-invariant theories demand the extension of the usual translation operation on OPVD, thereby leading to a generalized QED formulation. AtD= 2 the solvability of the Schwinger model is totally preserved. AtD= 4 the paracompactness property of the Euclidean manifold permits the use of test functions which are a decomposition of unity and thereby provides a natural justification and extension of the non-perturbative heat kernel method (Fujikawa) for Abelian anomalies. On the Minkowski manifold the specific role of causality in the restauration of gauge invariance (and mass generation for QED2 is exemplified in a simple way.
- Subjects
QUANTUM electrodynamics; QUANTUM field theory; GAUGE invariance; GAUGE field theory; GROUP theory; KERNEL functions
- Publication
Few-Body Systems, 2005, Vol 36, Issue 1-4, p103
- ISSN
0177-7963
- Publication type
Article
- DOI
10.1007/s00601-004-0085-8