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Advances in computational methods for Quantum Field Theory calculations

In this work we describe three methods to improve the performance of Quantum Field Theory calculations.

Auteur
Ruijl, B.J.G.
Datum
02 november 2017
Links
Thesis in Leiden Repository

In this work we describe three methods to improve the performance of Quantum Field Theory calculations. First, we simplify large expressions to speed up numerical integrations. Second, we design Forcer, a program for the reduction of four-loop massless propagator integrals. Third, we extend the R* method to quickly compute the poles of Feynman integrals. With these methods, we compute several four-loop splitting functions and the five-loop beta function for Yang-Mills theory with fermions.

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