A new perspective on intermediate algorithms via the Riemann-Hilbert correspondence
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Publication:1621258
DOI10.1007/s40509-016-0088-4zbMath1400.68071OpenAlexW2530708956MaRDI QIDQ1621258
Publication date: 8 November 2018
Published in: Quantum Studies: Mathematics and Foundations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40509-016-0088-4
Galois groupsPicard-Fuchs equationsRiemann-Hilbert correspondencetheory of computationhalting problemDyson-Schwinger equationsHall setsintermediate algorithmsrenormalization Hopf algebra
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Related Items (6)
Graphons and renormalization of large Feynman diagrams ⋮ Non-perturbative graph languages, halting problem and complexity ⋮ From Dyson-Schwinger equations to quantum entanglement ⋮ Non-perturbative β-functions via Feynman graphons ⋮ The dynamics of non-perturbative phases via Banach bundles ⋮ The complexities of nonperturbative computations
Cites Work
- Unnamed Item
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- Angles, scales and parametric renormalization
- Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
- Combinatorics of renormalization as matrix calculus
- Lie algebras associated to systems of Dyson-Schwinger equations.
- Anatomy of a gauge theory
- On motives associated to graph polynomials
- Classification of systems of Dyson-Schwinger equations in the Hopf algebra of decorated rooted trees.
- Motives associated to graphs
- On the Hopf algebra strucutre of perturbative quantum field theories
- Unique factorization in perturbative QFT
- New mathematical structures in renormalizable quantum field theories
- Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
- Galois theory and algorithms for linear differential equations
- Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations.
- Most programs stop quickly or never halt
- Renormalization and computation I: motivation and background
- MOTIVIC DYSON–SCHWINGER EQUATIONS
- THE GLOBAL β-FUNCTIONS FROM SOLUTIONS OF DYSON–SCHWINGER EQUATIONS
- Renormalisation and computation II: time cut-off and the Halting Problem
- Feynman motives and deletion-contraction relations
- Physics, Topology, Logic and Computation: A Rosetta Stone
- Towards a Definition of an Algorithm
- Dyson–Schwinger equations in the theory of computation
- Renormalization, the Riemann–Hilbert Correspondence, and Motivic Galois Theory
- Factorization in Quantum Field Theory: An Exercise in Hopf Algebras and Local Singularities
- Infinities in Quantum Field Theory and in Classical Computing: Renormalization Program
- FROM DYSON–SCHWINGER EQUATIONS TO THE RIEMANN–HILBERT CORRESPONDENCE
- A Course in Mathematical Logic for Mathematicians
- New Algebraic Aspects of Perturbative and Non-perturbative Quantum Field Theory
- A Contribution to the Theory of Groups of Prime-Power Order
- ALGEBRO-GEOMETRIC FEYNMAN RULES
- A GEOMETRIC PERSPECTIVE ON COUNTERTERMS RELATED TO DYSON–SCHWINGER EQUATIONS
- Counterterms in the context of the universal Hopf algebra of renormalization
- On a Factorisation of Free Monoids
- Über Beziehungen zwischen höheren Kommutatoren.
- A Basis for Free Lie Rings and Higher Commutators in Free Groups
- Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
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