Mathematical reflections on locality
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Publication:6179758
DOI10.1365/s13291-023-00268-wMaRDI QIDQ6179758
Li Guo, Bin Zhang, Sylvie Paycha
Publication date: 18 December 2023
Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)
Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Frames, locales (06D22) Convex sets and cones of operators (47L07) Multiple Dirichlet series and zeta functions and multizeta values (11M32) Causal inference from observational studies (62D20)
Related Items
Quivers and path semigroups characterized by locality conditions ⋮ Locality Galois groups of meromorphic germs in several variables
Cites Work
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- Renormalization and quantum field theory
- Algebraic Birkhoff factorization and the Euler-Maclaurin formula on cones
- Proof of the Bogoliubov-Parasiuk theorem on renormalization
- Über die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder
- Renormalisation and locality: branched zeta values
- A conical approach to Laurent expansions for multivariate meromorphic germs with linear poles
- Wave equations on Lorentzian manifolds and quantization.
- Perturbative algebraic quantum field theory. An introduction for mathematicians
- Hopf algebras, renormalization and noncommutative geometry
- Introduction to vertex operator algebras and their representations
- Microlocal analysis and interacting quantum field theories: renormalization on physical back\-grounds.
- Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
- Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
- An algebraic formulation of the locality principle in renormalisation
- The causal set approach to quantum gravity
- From orthocomplementations to locality
- Axioms for Euclidean Green's functions
- Relating nets and factorization algebras of observables: free field theories
- Conical zeta values and their double subdivision relations
- Convergence of Bogoliubov's method of renormalization in momentum space
- Über die Topologie der Gruppen-Mannigfaltigkeiten und ihre Verallgemeinerungen
- Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups
- Quantum field theory on curved spacetimes: Axiomatic framework and examples
- A smooth introduction to the wavefront set
- The mathematics of causal sets
- Renormalisation via locality morphisms
- What Becomes of a Causal Set?
- Renormalised conical zeta values
- Properties of field functionals and characterization of local functionals
- Locality and renormalization: Universal properties and integrals on trees
- The Atiyah–Singer index theorem
- Locality and causality in perturbative algebraic quantum field theory
- Renormalization in Quantum Field Theory (after R. Borcherds)
- An Algebraic Approach to Quantum Field Theory
- Algebraic quantum field theory, perturbation theory, and the loop expansion
- Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
