Results 41 to 50 of about 566,000 (274)
Journal of High Energy Physics, 2022 Scattering amplitudes in quantum field theories have intricate analytic properties as functions of the energies and momenta of the scattered particles.
Sebastian Mizera, Simon Telen
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Specializations of partial differential equations for Feynman integrals
Nuclear Physics B, 2022 Starting from the Mellin–Barnes integral representation of a Feynman integral depending on a set of kinematic variables zi, we derive a system of partial differential equations w.r.t. new variables xj, which parameterize the differentiable constraints zi=
Vladimir V. Bytev +2 more
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FEYNMAN DIAGRAMS VIA GRAPHICAL CALCULUS [PDF]
Journal 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
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Generalized planar Feynman diagrams: collections [PDF]
Journal of High Energy Physics, 2020 Abstract Tree-level Feynman diagrams in a cubic scalar theory can be given a metric such that each edge has a length. The space of metric trees is made out of orthants joined where a tree degenerates. Here we restrict to planar trees since each degeneration of a tree leads to a single planar neighbor.
Francisco Borges, Freddy Cachazo
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$$\theta $$ θ -diagram technique for $${\mathcal {N}}=1$$ N = 1 , $$d=4$$ d = 4 superfields
European Physical Journal C: Particles and Fields, 2023 We describe a diagrammatic procedure to carry out the Grassmann integration in super-Feynman diagrams of 4d theories expressed in terms of $${\mathcal {N}}=1$$ N = 1 superfields. This method is alternative to the well known D-algebra approach. We develop
D. Bason, M. Billò
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TOPICAL REVIEW: The Hopf algebra approach to Feynman diagram calculations [PDF]
, 2005 Two directional measuring device having an elongate measuring member having a distance measuring scale along its length and another measuring member to measure distance in another direction. The two members are relatively moveable in the direction of the
K. Ebrahimi-Fard, D. Kreimer
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Flow-oriented perturbation theory
Journal of High Energy Physics, 2023 We introduce a new diagrammatic approach to perturbative quantum field theory, which we call flow-oriented perturbation theory (FOPT). Within it, Feynman graphs are replaced by strongly connected directed graphs (digraphs).
Michael Borinsky +3 more
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Investigation of Pontryagin trace anomaly using Pauli-Villars regularization
Nuclear Physics B, 2022 In this paper, we investigate the Pontryagin trace anomaly for chiral fermions in a general curved background using Pauli-Villars regularization.
Chang-Yong Liu
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Grope cobordism and feynman diagrams [PDF]
Mathematische Annalen, 2004 See http://www.math.cornell.edu/~jconant/pagethree.html for a PDF file with better figure ...
Conant, J., Teichner, P.
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Two-loop corrections to large order behavior of φ4 theory
Nuclear Physics B, 2017 We consider the large order behavior of the perturbative expansion of the scalar φ4 field theory in terms of a perturbative expansion around an instanton solution.
Enrico M. Malatesta +2 more
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