Section:
New Results
Computation of integrals related to the Ising model
We showed in [2] that the -fold integrals of the
magnetic susceptibility of the Ising model, as well as various other
-fold integrals of the “Ising class”, or -fold integrals from
enumerative combinatorics, like lattice Green functions, correspond to
a distinguished class of functions generalising algebraic functions:
they are actually diagonals of rational functions. This
algebraic structure explains many remarkable properties of the
integrals of the Ising class.