Results 31 to 40 of about 700,670 (248)

Recursion Relation for the Feynman Diagrams of the Effective Action for the Third Legendre Transformation [PDF]

open access: yes, 2008
We derive a recursion relation of the Feynman diagrams of the effective action for the third Legendre transformation in case of the bosonic field theory with cubic interaction.
Kim, Chungku
core   +1 more source

The chirality-flow formalism

open access: yesEuropean Physical Journal C: Particles and Fields, 2020
We take a fresh look at Feynman diagrams in the spinor-helicity formalism. Focusing on tree-level massless QED and QCD, we develop a new and conceptually simple graphical method for their calculation.
Andrew Lifson   +2 more
doaj   +1 more source

Planar matrices and arrays of Feynman diagrams [PDF]

open access: yesCommunications in Theoretical Physics, 2019
Recently, planar collections of Feynman diagrams were proposed by Borges and one of the authors as the natural generalization of Feynman diagrams for the computation of k = 3 biadjoint amplitudes.
F. Cachazo   +3 more
semanticscholar   +1 more source

Sur le statut des diagrammes de Feynman en théorie quantique des champs

open access: yesPhilosophia Scientiæ, 2009
This article is about the conceptual status of Feynman diagrams in Quantum Field Theory. It is aimed at showing that the standard use of these diagrams does not threaten the bohrian instrumentalist interpretation of quantum mechanics.
Alexis Rosenbaum
doaj   +1 more source

Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams [PDF]

open access: yesJournal of Mathematics and Physics, 2017
We calculate 3-loop master integrals for heavy quark correlators and the 3-loop QCD corrections to the $\rho$-parameter. They obey non-factorizing differential equations of second order with more than three singularities, which cannot be factorized in ...
J. Ablinger   +7 more
semanticscholar   +1 more source

Gluing Ladder Feynman Diagrams into Fishnets. [PDF]

open access: yesPhysical Review Letters, 2017
We use integrability at weak coupling to compute fishnet diagrams for four-point correlation functions in planar ϕ^{4} theory. The results are always multilinear combinations of ladder integrals, which are in turn built out of classical polylogarithms ...
B. Basso, L. Dixon
semanticscholar   +1 more source

Spherical contours, IR divergences and the geometry of Feynman parameter integrands at one loop

open access: yesJournal of High Energy Physics, 2020
Spherical contours introduced in [1] translate the concept of “discontinuity across a branch cut” to Feynman parameter space. In this paper, we further explore spherical contours and connect them to the computation of leading IR divergences of 1 loop ...
Akshay Yelleshpur Srikant
doaj   +1 more source

Nonlocal, noncommutative diagrammatics and the linked cluster Theorems [PDF]

open access: yes, 2011
Recent developments in quantum chemistry, perturbative quantum field theory, statistical physics or stochastic differential equations require the introduction of new families of Feynman-type diagrams. These new families arise in various ways.
Brouder, Christian, Frédéric, Patras
core   +3 more sources

Exact Solutions v.s. Perturbative Calculations of Finite Φ3-Φ4 Hybrid-Matrix-Model

open access: yesNuclear Physics B, 2023
There is a matrix model corresponding to a scalar field theory on noncommutative spaces called Grosse-Wulkenhaar model (Φ4 matrix model), which is renormalizable by adding a harmonic oscillator potential to scalar Φ4 theory on Moyal spaces.
Naoyuki Kanomata, Akifumi Sako
doaj   +1 more source

FEYNMAN DIAGRAMS VIA GRAPHICAL CALCULUS [PDF]

open access: yesJournal of Knot Theory and Its Ramifications, 2002
We use Reshetikhin-Turaev graphical calculus to define Feynman diagrams and prove that asymptotic expansions of Gaussian integrals can be written as a sum over a suitable family of graphs. We discuss how different kinds of interactions give rise to different families of graphs.
FIORENZA, DOMENICO, Riccardo Murri
openaire   +4 more sources

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