Results 11 to 20 of about 700,670 (248)

Co-Homology of Differential Forms and Feynman Diagrams [PDF]

open access: yesUniverse, 2021
In the present review we provide an extensive analysis of the intertwinement between Feynman integrals and cohomology theories in light of recent developments.
Sergio Luigi Cacciatori   +2 more
doaj   +2 more sources

Symmetry factors of Feynman diagrams and the homological perturbation lemma [PDF]

open access: yesJournal 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   +1 more
doaj   +2 more sources

Feynman diagrams versus Fermi-gas Feynman emulator [PDF]

open access: yesNature Physics, 2011
Precise understanding of strongly interacting fermions, from electrons in modern materials to nuclear matter, presents a major goal in modern physics. However, the theoretical description of interacting Fermi systems is usually plagued by the intricate ...
A Bulgac   +37 more
core   +10 more sources

Asymptotic analysis of Feynman diagrams and their maximal cuts [PDF]

open access: yesEuropean Physical Journal C: Particles and Fields, 2020
The ASPIRE program, which is based on the Landau singularities and the method of Power geometry to unveil the regions required for the evaluation of a given Feynman diagram asymptotically in a given limit, also allows for the evaluation of scaling coming
B. Ananthanarayan   +2 more
doaj   +2 more sources

Feynman Diagrams and Differential Equations [PDF]

open access: yesInternational Journal of Modern Physics A, 2007
We review in a pedagogical way the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the general features of the technique, we discuss its application in the context of one- and two ...
Anastasiou C.   +37 more
core   +3 more sources

Vertex Models on Feynman Diagrams [PDF]

open access: yesPhysics Letters A, 1997
The statistical mechanics of spin models, such as the Ising or Potts models, on generic random graphs can be formulated economically by considering the N --> 1 limit of Hermitian matrix models.
Ambjørn   +47 more
core   +4 more sources

Graphons and renormalization of large Feynman diagrams [PDF]

open access: yesOpuscula Mathematica, 2018
The article builds a new enrichment of the Connes-Kreimer renormalization Hopf algebra of Feynman diagrams in the language of graph functions.
Ali Shojaei-Fard
doaj   +2 more sources

Graph polynomials associated with Dyson-Schwinger equations [PDF]

open access: yesMathematica Moravica, 2023
Quantum motions are encoded by a particular family of recursive Hochschild equations in the renormalization Hopf algebra which represent Dyson-Schwinger equations, combinatorially.
Shojaei-Fard Ali
doaj   +1 more source

Variational quantum eigensolver for causal loop Feynman diagrams and directed acyclic graphs [PDF]

open access: yesPhysical Review D, 2022
We present a variational quantum eigensolver (VQE) algorithm for the efficient bootstrapping of the causal representation of multiloop Feynman diagrams in the Loop-Tree Duality (LTD) or, equivalently, the selection of acyclic configurations in directed ...
Giuseppe Clemente   +7 more
semanticscholar   +1 more source

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