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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
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Automatic generation of helicity amplitudes in the Feynman-diagram gauge [PDF]
Physical Review DWe develop a method to calculate helicity amplitudes of an arbitrary tree-level process in the Feynman-diagram (FD) gauge for an arbitrary gauge model with adraph5_a@. We start from the ’t Hooft–Feynman gauge Lagrangian in eynules and generate scattering
Kaoru Hagiwara +4 more
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Spacetime as a Feynman diagram: the connection formulation [PDF]
, 2000 Spin-foam models are the path-integral counterparts to loop-quantized canonical theories. Over the last few years several spin-foam models of gravity have been proposed, most of which live on finite simplicial lattice spacetime. The lattice truncates the
Michael P Reisenberger, C. Rovelli
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The twistor Wilson loop and the amplituhedron
Journal of High Energy Physics, 2018 The amplituhedron provides a beautiful description of perturbative superamplitude integrands in N = 4 $$ \mathcal{N}=4 $$ SYM in terms of purely geometric objects, generalisations of polytopes. On the other hand the Wilson loop in supertwistor space also
Paul Heslop, Alastair Stewart
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Hybrid Schrödinger-Feynman Simulation of Quantum Circuits With Decision Diagrams [PDF]
International Conference on Quantum Computing and Engineering, 2021 Classical simulations of quantum computations are vital for the future development of this emerging technology. To this end, decision diagrams have been proposed as a complementary technique which frequently allows to tackle the inherent exponential ...
Lukas Burgholzer +2 more
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Automating scattering amplitudes with chirality flow
European Physical Journal C: Particles and Fields, 2022 Recently we introduced the chirality-flow formalism, a method which builds on the spinor-helicity formalism and is inspired by the color-flow idea in QCD.
Andrew Lifson +2 more
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Feynman Diagram Calculations with FeynArts, FormCalc, and LoopTools [PDF]
, 2010 This article describes the latest versions of the Mathematica packages FeynArts, FormCalc, and LoopTools for the generation and evaluation of one-loop diagrams.
T. Hahn
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Feynman diagrams versus Fermi-gas Feynman emulator [PDF]
Nature Physics, 2012 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 quantum statistics at play.
van Houcke, Kris +9 more
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FEYNMAN DIAGRAMS AND DIFFERENTIAL EQUATIONS [PDF]
International 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-loop corrections to the photon propagator in QED, by computing the Vacuum Polarization tensor exactly ...
Argeri, Mario, Mastrolia, Pierpaolo
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µ−µ+ → νµνµttH amplitudes in the Feynman-diagram gauge [PDF]
EPJ Web of ConferencesWe study the process µ−µ+ → νµῡµ tt¯H with complex CP violating ttH couplings in the SMEFT with a dimension-6 operator. When the amplitudes are expressed in the Feynman-Diagram gauge, the dominance of the total cross section via the weak boson fusion ...
Zheng Ya-Juan
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