Anomalies of Dirac type operators on Euclidean space

DOI10.1007/s00220-014-2204-9zbMath1321.47026arXiv1310.1796OpenAlexW2039077285MaRDI QIDQ2260719

Jens Kaad, Alan L. Carey, Harald Grosse

Publication date: 11 March 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1796

zbMATH Keywords

Dirac operatorindex formulaquantum action principle

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) (Semi-) Fredholm operators; index theories (47A53) (K)-theory and homology; cyclic homology and cohomology (19D55) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (5)

Topological invariance of the homological index ⋮ On the Witten index in terms of spectral shift functions ⋮ The Witten index and the spectral shift function ⋮ On a spectral flow formula for the homological index ⋮ On index theory for non-Fredholm operators: A (1 + 1)-dimensional example

Cites Work

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• The index formula and the spectral shift function for relatively trace class perturbations
• Axial anomalies and index theorems on open spaces
• Topological invariance of the Witten index
• The local index formula in noncommutative geometry
• Topological invariance of the homological index
• On the Witten index in terms of spectral shift functions
• Witten index, axial anomaly, and Krein’s spectral shift function in supersymmetric quantum mechanics
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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