The U(1) BF functional measure and the Dirac distribution on the space of quantum fields

DOI10.1063/5.0166948arXiv2306.04259OpenAlexW4381543858MaRDI QIDQ6064814

Frank Thuillier

Publication date: 11 December 2023

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

Full work available at URL: https://arxiv.org/abs/2306.04259

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Topological field theories in quantum mechanics (81T45)

Cites Work

• A reciprocity formula from abelian BF and Turaev-Viro theories
• Deligne-Beilinson cohomology and abelian link invariants
• The partition function of a degenerate functional
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• Invariants of 3-manifolds via link polynomials and quantum groups
• Path-integral invariants in abelian Chern-Simons theory
• Abelian BF theory and Turaev-Viro invariant
• Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications
• Three-manifold invariant from functional integration

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