Results 1 to 10 of about 1,633 (195)

Feynman diagrams and rooted maps

Open Physics, 2018
The rooted maps theory, a branch of the theory of homology, is shown to be a powerful tool for investigating the topological properties of Feynman diagrams, related to the single particle propagator in the quantum many-body systems.
Prunotto Andrea, Alberico Wanda Maria, Czerski Piotr   +2 more
doaj   +3 more sources

Combinatorial summation of Feynman diagrams. [PDF]

Nat Commun
Abstract 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   +5 more sources

The diagrammatic coaction and cuts of the double box

SciPost Physics Proceedings, 2022
The diagrammatic coaction encodes the analytic structure of Feynman integrals by mapping any given Feynman diagram into a tensor product of diagrams defined by contractions and cuts of the original diagram.
Einan Gardi, Aris Ioannou
doaj   +1 more source

Group invariants for Feynman diagrams

SciPost 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   +1 more source

Feynman rules for scalar conformal blocks

Journal 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, Sarah Hoback, Wen-Jie Ma, Sarthak Parikh, Witold Skiba   +4 more
doaj   +1 more source

Feynman diagrams and $Ω$-deformed M-theory

SciPost 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   +1 more source

Twistor coverings and Feynman diagrams

Journal of High Energy Physics, 2022
Recently, a worldsheet dual to free N $$ \mathcal{N} $$ = 4 Super Yang-Mills has been proposed in terms of twistor variables for AdS5, in parallel to that for the AdS3 dual to the free symmetric orbifold CFT. In the latter case, holomorphic covering maps
Faizan Bhat, Rajesh Gopakumar, Pronobesh Maity, Bharathkumar Radhakrishnan   +3 more
doaj   +1 more source

Symmetry factors of Feynman diagrams and the homological perturbation lemma

Journal of High Energy Physics, 2020
We discuss the symmetry factors of Feynman diagrams of scalar field theories with polynomial potential. After giving a concise general formula for them, we present an elementary and direct proof that when computing scattering amplitudes using the ...
Christian Saemann, Emmanouil Sfinarolakis   +1 more
doaj   +1 more source

Triangle diagram, distance geometry and Symmetries of Feynman Integrals

Journal of High Energy Physics, 2020
We study the most general triangle diagram through the Symmetries of Feynman Integrals (SFI) approach. The SFI equation system is obtained and presented in a simple basis.
Barak Kol, Subhajit Mazumdar
doaj   +1 more source

Quantum field-theoretical descriprion of neutrino oscillations in T2K experiment [PDF]

EPJ Web of Conferences, 2019
We consider neutrino oscillations in the T2K experiment using a new quantum field-theoretical approach to the description of processes passing at finite space-time intervals.
Egorov Vadim, Rusalev Timofei
doaj   +1 more source