Advances in computational methods for Quantum Field Theory calculations

Ruijl, B.J.G. (2017)

Doctoral Thesis

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.

• QFT
• QCD
• Feynman diagrams
• Integrals
• Renormalization
• Optimization
• Symbolic computation

• All authors: Ruijl, B.J.G.
• Supervisor: Herik, H.J. van den; Plaat, A.
• Co-supervisor: Vermaseren, J.A.M.
• Committee: Kok, J.N.; Achúcarro, A.; Hoos, H.H.; Holten, J.W. van; Anastasiou, C.; Laenen, E.L.P.M.; Vogt, A.; Heinrich, G.
• Qualification: Doctor (dr.)
• Awarding Institution: LIACS, Science, Leiden University
• Date: 2017-11-02
• ISBN (print): 9789462337466
• Sponsorship: ERC Advanced Grant no. 320651, “HEPGAME”