The index of scattering operators of Dirac equations. II

DOI10.1016/0022-1236(90)90029-KzbMath0726.58044OpenAlexW2000509504MaRDI QIDQ804051

N. E. Zubov

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(90)90029-k

zbMATH Keywords

Dirac operatorindexscattering operatorgauge potentials with compactly supported energyinstanton-type potentials

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Index theory and related fixed-point theorems on manifolds (58J20) Scattering theory of linear operators (47A40)

Related Items

A rigorous geometric derivation of the chiral anomaly in curved backgrounds, Quantum electrodynamics in external fields from the spin representation, An index theorem on asymptotically static spacetimes with compact Cauchy surface, The index of the scattering operator on the positive spectral subspace

Cites Work

• Unnamed Item
• Axial anomalies and index theorems on open spaces
• Absence of vacuum polarisation in Fock space
• The Chern classes of Sobolev connections
• The index of scattering operators of Dirac equations
• Some remarks on the paper of Callias
• A Chern number for gauge fields on R4