Free Fermi and Bose fields in TQFT and GBF

DOI10.3842/SIGMA.2013.028zbMath1283.81114arXiv1208.5038WikidataQ62100570 ScholiaQ62100570MaRDI QIDQ352496

Robert Oeckl

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5038

zbMATH Keywords

quantum field theoryfree field theorytopological quantum field theorygeneral boundary formulationfermionsfoundations of quantum theoryfunctorial quantization

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization in field theory; cohomological methods (81T70) Topological field theories in quantum mechanics (81T45) Geometry and quantization, symplectic methods (81S10) Topological quantum field theories (aspects of differential topology) (57R56) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Quantum state spaces, operational and probabilistic concepts (81P16) Cobordism in PL-topology (57Q20)

Related Items (8)

Quantum abelian Yang-Mills theory on Riemannian manifolds with boundary ⋮ Compositional quantum field theory: An axiomatic presentation ⋮ Towards state locality in quantum field theory: free fermions ⋮ Locality and general vacua in quantum field theory ⋮ The \(S\)-matrix in Schrödinger representation for curved spacetimes in general boundary quantum field theory ⋮ Complex structures and quantum representations for scalar QFT in curved spacetimes ⋮ A positive formalism for quantum theory in the general boundary formulation ⋮ Coherent States in Fermionic Fock-Krein Spaces and Their Amplitudes

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