Twistor coverings and Feynman diagrams

Feynman diagrams versus Fermi-gas Feynman emulator

Grope Cobordism and Feynman Diagrams

We explain how the usual algebras of Feynman diagrams behave under the grope degree introduced in [CT]. We show that the Kontsevich integral rationally classifies grope cobordisms of knots in 3-space when the “class” is used to organize gropes. This implies that the grope cobordism equivalence relations are highly nontrivial in dimension 3. We also show that the class is not a useful organizing...

Matrix Theory and Feynman Diagrams

We briefly review the computation of graviton and antisymmetric tensor scattering amplitudes in Matrix Theory from a diagramatic S-Matrix point of view. It is by now commonly believed that eleven dimensional supergravity is the low-energy effective theory of a more fundamental microscopic model, known as M-theory. A proposed definition of M-theory has been given in terms of the large N limit of...

Scattering equations and Feynman diagrams

We show a direct matching between individual Feynman diagrams and integration measures in the scattering equation formalism of Cachazo, He and Yuan. The connection is most easily explained in terms of triangular graphs associated with planar Feynman diagrams in φ3-theory. We also discuss the generalization to general scalar field theories with φp interactions, corresponding to polygonal graphs ...

Feynman Diagrams and Cutting Rules

We show how Feynman diagrams may be evaluated to take advantage of recent developments in the application of Cutkosky rules to the calculation of one-loop amplitudes. A sample calculation of gg → gH, previously calculated by Ellis et al., is presented illustrating this equivalence. This example demonstrates the use of cutting rules for massive amplitudes. Email address: [email protected]