Advances in computational methods for Quantum Field Theory calculations

Leiden Repository

Advances in computational methods for Quantum Field Theory calculations

Type: Doctoral Thesis
Title: Advances in computational methods for Quantum Field Theory calculations
Author: Ruijl, B.J.G.
Issue Date: 2017-11-02
Keywords: QFT
QCD
Feynman diagrams
Integrals
Renormalization
Optimization
Symbolic computation
Abstract: 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.
Promotor: Supervisor: Herik H.J. van den, Plaat A. Co-Supervisor: Vermaseren J.A.M.
Faculty: Science
University: Leiden
Uri: urn:isbn:9789462337466
Handle: http://hdl.handle.net/1887/59455
 

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application/pdf Appendices 172.9Kb View/Open
application/pdf Summary 177.8Kb View/Open
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application/pdf Curriculum vitae 93.05Kb View/Open
application/pdf Acknowledgements 94.14Kb View/Open
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