Results 21 to 30 of about 71,268 (259)
The twistor Wilson loop and the amplituhedron
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
doaj +1 more source
Automating scattering amplitudes with chirality flow
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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A General Expression for Symmetry Factors of Feynman Diagrams [PDF]
The calculation of the symmetry factor corresponding to a given Feynman diagram is well known to be a tedious problem. We have derived a simple formula for these symmetry factors.
C D Palmer, Kleinert A., M E Carrington
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Feynman diagrams versus Fermi-gas Feynman emulator [PDF]
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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A steepest descent calculation of RNA pseudoknots [PDF]
We enumerate possible topologies of pseudoknots in single-stranded RNA molecules. We use a steepest-descent approximation in the large N matrix field theory, and a Feynman diagram formalism to describe the resulting pseudoknot ...
A. Zee +3 more
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FEYNMAN DIAGRAMS AND DIFFERENTIAL EQUATIONS [PDF]
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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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
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]
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]
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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