Co-Homology of Differential Forms and Feynman Diagrams

Feynman Diagrams and Differential Equations

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 oneand two-loop corrections to the photon propagator in QED, by computing the Vacuum Polarization tensor exactly in D. Finally, we treat two cases of less triv...

Feynman diagrams versus Fermi-gas Feynman emulator

Carter–Penrose diagrams and differential spaces

In this paper it is argued that a Carter–Penrose diagram can be viewed as a differential space.

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...