4.6 Article

Feynman diagrams From complexity to simplicity and back

Journal

SYNTHESE
Volume 199, Issue 5-6, Pages 15087-15111

Publisher

SPRINGER
DOI: 10.1007/s11229-021-03387-y

Keywords

Feynman diagrams; Path integrals; Complexity; Simplicity

Funding

  1. Deutsche Forschungsgemeinschaft [HA2990/7-2, HA2990/8-2, FOR 2063, 286101044, 234743567]

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The passage discusses the transition from path integrals to Feynman diagrams, highlighting the decrease and subsequent increase in complexity. It illustrates the dialectic between the simplicity and clarity of Feynman diagrams, and the complexity in their practical applications.
The way from the path integral to Feynman diagrams is sketched. The emphasis is put on the decrease of complexity in this process, from infinite-dimensional integrals down to the apparent simplicity of child's play. On the other hand, also the subsequent increase in complexity when using Feynman diagrams to make realistic physical predictions is described, thus illustrating the dialectic between the simplicity and clarity of Feynman diagrams, and the complexity in their practical applications.

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