Results 21 to 30 of about 1,633 (195)
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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A Feynman diagram analyzer DIANA [PDF]
Computer Physics Communications, 2000 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.
Tentyukov, M, Fleischer, Jochem
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Gravitational lensing of the CMB: A Feynman diagram approach
Physics 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
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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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High-precision calculation of the 4-loop QED contribution to the slope of the Dirac form factor
Physics Letters B, 2020 We have evaluated with 1100 digits of precision the contribution of all the 891 mass-independent 4-loop Feynman diagrams contributing to the slope of the Dirac form factor in QED.
Stefano Laporta
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Stochastic diagrams and Feynman diagrams [PDF]
Nuclear Physics B, 1985 Abstract We study the relationship between ordinary perturbation theory and perturbation theory obtained from stochastic quantization. We give a simple proof that, except in gauge theories, the several stochastic diagrams of a given topology are together equivalent to the corresponding Feynman diagram.
H. Hüffel, P.V. Landshoff
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Journal of High Energy Physics, 2023 A number of diagrammatic “cutting rules” have recently been developed for the wavefunction of the Universe which determines cosmological correlation functions. These leverage perturbative unitarity to relate particular “discontinuities” in Feynman-Witten
Santiago Agüí Salcedo, Scott Melville
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