A rigorous geometric derivation of the chiral anomaly in curved backgrounds

DOI10.1007/S00220-016-2664-1zbMath1350.81029arXiv1508.05345OpenAlexW3101613863WikidataQ59891529 ScholiaQ59891529MaRDI QIDQ330887

Alexander Strohmaier, Christian Bär

Publication date: 26 October 2016

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

Full work available at URL: https://arxiv.org/abs/1508.05345

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) Gravitational interaction in quantum theory (81V17) Anomalies in quantum field theory (81T50)

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Cites Work

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• The index of scattering operators of Dirac equations. II
• Locally covariant chiral fermions and anomalies
• The structure of gauge and gravitational anomalies
• The index of scattering operators of Dirac equations
• Automorphisms of the canonical anticommutation relations and index theory
• The index of the scattering operator on the positive spectral subspace
• Quasi-free 'second quantization'
• The index of a pair of projections
• Green-hyperbolic operators on globally hyperbolic spacetimes
• On quasifree states of CAR and Bogoliubov automorphisms
• Classical and Quantum Fields on Lorentzian Manifolds
• Evidence for the chiral anomaly in the Dirac semimetal Na ₃ Bi
• Anomalies in Quantum Field Theory
• THE EXTENDED ALGEBRA OF OBSERVABLES FOR DIRAC FIELDS AND THE TRACE ANOMALY OF THEIR STRESS-ENERGY TENSOR
• An explicit quantum weak energy inequality for Dirac fields in curved spacetimes
• Dirac Quantum Fields on a Manifold
• MICROLOCAL SPECTRUM CONDITION AND HADAMARD FORM FOR VECTOR-VALUED QUANTUM FIELDS IN CURVED SPACETIME
• An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundary
• New gravitational index theorems and super theorems
• The Hadamard condition for Dirac fields and adiabatic states on Robertson-Walker spacetimes

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