Seminar of the Institute
Numbers and functions in quantum field theory
Wednesday July 6, 2016 16:15:00 CEST
Wednesday July 6, 2016 17:30:00 CEST
Dr. Oliver Schnetz, Univ. Erlangen
Quantum field theories describe the fundamental interactions between physical particles. Perturbation theory organizes quantum field theory calculations as expansions in Feynman graphs. Each Feynman graph stands for a multi-dimensional integral over a differential form which is a rational function with integer coefficients. We report on the mathematical structures of the numbers and functions which arise from these integrals. We also indicate how these structures can be used to perform (some) quantum field theory calculations to very high order.