52 citations · 100 across the 6 of their papers we have counts for
6 papers
Double Box Motive
Spencer Bloch
The motive associated to the second Symanzik polynomial of the double-box two-loop Feynman graph with generic masses and momenta is shown to be an elliptic curve.
Cutkosky Rules and Outer Space
Spencer Bloch, Dirk Kreimer
We derive Cutkosky's theorem starting from Pham's classical work. We emphasize structural relations to Outer Space.
Feynman Amplitudes in Mathematics and Physics
Spencer Bloch
These are notes of lectures given at the CMI conference in August, 2014 at ICMAT in Madrid. The focus is on some mathematical questions associated to Feynman amplitudes, including…
Feynman amplitudes and Landau singularities for 1-loop graphs
Spencer Bloch, Dirk Kreimer
We use mixed Hodge structures to investigate Feynman amplitudes as functions of external momenta and masses.
Mixed Hodge Structures and Renormalization in Physics
Spencer Bloch, Dirk Kreimer
We relate renormalization in perturbative quantum field theory to the theory of limiting mixed Hodge structures using parametric representations of Feynman graphs.
A Riemann-Roch theorem for flat bundles, with values in the algebraic Chern-Simons theory
Spencer Bloch, Hélène Esnault
Let be flat morphism over an algebraically closed field with a relative normal crossings divisor , be a bundle with a connection with log…