Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory

DOI10.1007/s11005-024-01784-1arXiv2212.02546OpenAlexW4392162546MaRDI QIDQ6123429

Alexander Schenkel, Giorgio Musante, Marco Benini

Publication date: 4 March 2024

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

Full work available at URL: https://arxiv.org/abs/2212.02546

zbMATH Keywords

factorization algebrasglobally hyperbolic Lorentzian manifoldsalgebraic quantum field theoriesGreen hyperbolic operatorshomological methods in gauge theory

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization in field theory; cohomological methods (81T70) Hyperbolic equations on manifolds (58J45)

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Cites Work

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• Batalin-Vilkovisky formalism in the functional approach to classical field theory
• Limits and spectral sequences
• Linear Yang-Mills theory as a homotopy AQFT
• Wave equations on Lorentzian manifolds and quantization.
• The generally covariant locality principle -- a new paradigm for local quantum field theory
• Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory
• Homotopy theory of algebraic quantum field theories
• Model-independent comparison between factorization algebras and algebraic quantum field theory on Lorentzian manifolds
• Relating nets and factorization algebras of observables: free field theories
• Green-hyperbolic operators on globally hyperbolic spacetimes
• Advances in algebraic quantum field theory
• RENORMALIZED QUANTUM YANG–MILLS FIELDS IN CURVED SPACETIME
• Factorization Algebras in Quantum Field Theory
• Operads for algebraic quantum field theory
• Higher Structures in Algebraic Quantum Field Theory
• Homotopy theory of net representations