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Combinatorial summation of Feynman diagrams. [PDF]

open access: yesNat Commun, 2023
Feynman’s diagrammatic series is a common language for a formally exact theoretical description of systems of infinitely-many interacting quantum particles, as well as a foundation for precision computational techniques.
Kozik E.
europepmc   +7 more sources

Feynman diagrams and $Ω$-deformed M-theory [PDF]

open access: diamondSciPost Physics, 2021
We derive the simplest commutation relations of operator algebras associated to M2 branes and an M5 brane in the $\Omega$-deformed M-theory, which is a natural set-up for Twisted holography.
Jihwan Oh, Yehao Zhou
doaj   +3 more sources

Group invariants for Feynman diagrams [PDF]

open access: diamondSciPost Physics Proceedings, 2023
It is well-known that the symmetry group of a Feynman diagram can give important information on possible strategies for its evaluation, and the mathematical objects that will be involved. Motivated by ongoing work on multi-loop multi-photon amplitudes in
Idrish Huet, Michel Rausch de Traubenberg, Christian Schubert
doaj   +2 more sources

Feynman rules for scalar conformal blocks [PDF]

open access: yesJournal of High Energy Physics, 2022
We complete the proof of “Feynman rules” for constructing M-point conformal blocks with external and internal scalars in any topology for arbitrary M in any spacetime dimension by combining the rules for the blocks (based on their Witten diagram ...
Jean-François Fortin   +4 more
doaj   +2 more sources

Feynman Diagrams [PDF]

open access: green
11 pages, invited article for the Encyclopedia of Particle Physics.
Stefan Weinzierl
  +5 more sources

First look at the evaluation of three-loop non-planar Feynman diagrams for Higgs plus jet production [PDF]

open access: diamondJournal of High Energy Physics, 2023
We present new computations for Feynman integrals relevant to Higgs plus jet production at three loops, including first results for a non-planar class of integrals.
Johannes M. Henn   +2 more
openalex   +3 more sources

A Feynman diagram analyzer DIANA [PDF]

open access: yesComputer Physics Communications, 1999
A C-program DIANA (DIagram ANAlyser) for the automatic Feynman diagram evaluation is presented. It consists of two parts: the analyzer of diagrams and the interpreter of a special text manipulating language. This language is used to create a source code for analytical or numerical evaluations and to keep the control of the process in general.
M. Tentyukov, J. Fleischer
semanticscholar   +5 more sources

Spin foams as Feynman diagrams [PDF]

open access: green2001: A Relativistic Spacetime Odyssey, 2000
It has been recently shown that a certain non-topological spin foam model can be obtained from the Feynman expansion of a field theory over a group. The field theory defines a natural ``sum over triangulations'', which removes the cut off on the number of degrees of freedom and restores full covariance.
Michael Reisenberger, Carlo Rovelli
openalex   +3 more sources

Gravitational lensing of the CMB: A Feynman diagram approach

open access: diamondPhysics Letters B, 2014
We develop a Feynman diagram approach to calculating correlations of the Cosmic Microwave Background (CMB) in the presence of distortions. As one application, we focus on CMB distortions due to gravitational lensing by Large Scale Structure (LSS).
Elizabeth E. Jenkins   +3 more
doaj   +2 more sources

Integrable Feynman graphs and Yangian symmetry on the loom

open access: yesJournal of High Energy Physics, 2023
We present significant evidence that the powerful property of Yangian invariance extends to a new large class of conformally invariant Feynman integrals. Our results apply to planar Feynman diagrams in any spacetime dimension dual to an arbitrary network
Vladimir Kazakov   +2 more
doaj   +2 more sources

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