Quantum Field Theory

The Computer Algebra and Applications Group at RISC (team leader: Carsten Schneider) aims at developing flexible and efficient symbolic summation and integration techniques, as well as special function algorithms that assist in the calculation of Feynman integrals arising in the context of Elementary Quantum Field Theory.
This goal is attacked in intensive cooperation with the Theory Group of the Deutsches Elektronen Synchrotron DESY, Zeuthen (team leaders: Johannes Blümlein and Peter Marquard). A cooperation contract between the Johannes Kepler University (JKU) and DESY was signed in February 2007 and has been prolonged step-wise till February 2026.

Beyond the application of these methods, algorithms and tools in Quantum Field Theory, the group applies these methods also in other fields, such as combinatorics (simplification of enumerative problems) or number theory (multiple zeta values, irrationality proofs, new relations between sums).