Smooth 1-dimensional algebraic quantum field theories
DOI10.1007/s00023-021-01132-2zbMath1497.81084arXiv2010.13808OpenAlexW4205992527MaRDI QIDQ2144563
Marco Perin, Alexander Schenkel, Marco Benini
Publication date: 14 June 2022
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.13808
Quantum field theory on curved space or space-time backgrounds (81T20) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) 2-categories, bicategories, double categories (18N10)
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Cites Work
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- Batalin-Vilkovisky formalism in the functional approach to classical field theory
- Poisson algebras for non-linear field theories in the Cahiers topos
- Wave equations on Lorentzian manifolds and quantization.
- The generally covariant locality principle -- a new paradigm for local quantum field theory
- Tori detect invertibility of topological field theories
- Operations on continuous bundles of \(C^*\)-algebras
- Involutive categories and monoids, with a GNS-correspondence
- Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory
- Homotopy theory of algebraic quantum field theories
- Smooth functorial field theories from B-fields and D-branes
- A framework for geometric field theories and their classification in dimension one
- Models of Free Quantum Field Theories on Curved Backgrounds
- Algebraic Quantum Field Theory in Curved Spacetimes
- ENDOMORPHISMS AND AUTOMORPHISMS OF LOCALLY COVARIANT QUANTUM FIELD THEORIES
- Introduction to Smooth Manifolds
- CCR- versus CAR-Quantization on Curved Spacetimes
- Supersymmetric field theories and generalized cohomology
- A 2-Categories Companion
- THE EXTENDED ALGEBRA OF OBSERVABLES FOR DIRAC FIELDS AND THE TRACE ANOMALY OF THEIR STRESS-ENERGY TENSOR
- Involutive categories, colored $\ast$-operads and quantum field theory
- Operads for algebraic quantum field theory
- THE RENORMALIZED LOCALLY COVARIANT DIRAC FIELD
- Categories and Sheaves
- Pseudo limits, biadjoints, and pseudo algebras: categorical foundations of conformal field theory
- Higher Structures in Algebraic Quantum Field Theory
