The Mathematical Intelligencer

, Volume 39, Issue 2, pp 46–54 | Cite as

Feynman Diagrams as Models

  • Michael StöltznerEmail author


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.



My work on Feynman diagrams started with Jim Talbert's senior thesis and a visit at the University of Bielefeld during the summer of 2012. Subsequent work took place within the context of the DFG-research unit “Epistemology of the LHC,” during my Sabbatical at the Munich Center for Mathematical Philosophy, and it was finished during a stay at the Karlsruhe Institute for Technology. I am deeply indebted to members of the respective groups and to all those commenting on my paper at the 2015 Oberwolfach meeting. I am also indebted to David Rowe and Adrian Wüthrich for comments on a previous version of this article.


  1. R. Batterman & C. C. Rice (2014). Minimal Model Explanations. Philosophy of Science 81: 349–376.MathSciNetCrossRefGoogle Scholar
  2. F. Biraben (2009). Spectroscopy of Atomic Hydrogen: How is the Rydberg Constant Determined? European Physics Journal (Special Topics) 172: 109–119.CrossRefGoogle Scholar
  3. J. D. Bjorken & S. D. Drell (1964). Relativistic Quantum Mechanics. New York: McGraw-Hill.zbMATHGoogle Scholar
  4. J. R. Brown (1996). Illustration and Inference. In: Picturing Knowledge: Historical and Philosophical Problems Concerning the Use of Art in Science, B. Baigrie (ed.). Toronto: University of Toronto Press, 250–268.Google Scholar
  5. D. Griffiths (1987). Introduction to Elementary Particles. Hoboken, NJ: Wiley.CrossRefzbMATHGoogle Scholar
  6. A. Gross (2012). Picture and Pedagogy: The Role of Diagrams in Feynman’s Early Lectures. Studies in History and Philosophy of Modern Physics 43: 184–194.MathSciNetCrossRefzbMATHGoogle Scholar
  7. A. Jaffe & F. Quinn (1993). “Theoretical Mathematics”: Toward a Cultural Synthesis of Mathematics and Theoretical Physics. Bulletin of the American Mathematical Society 39: 1–13.MathSciNetCrossRefzbMATHGoogle Scholar
  8. D. Kaiser (2005). Drawing Theories Apart: The Dispersion of Feynman Diagrams in Postwar Physics. Chicago: The University of Chicago Press.CrossRefzbMATHGoogle Scholar
  9. U. Klein (2003). Experiments, Models, Paper Tools: Culture of Organic Chemistry in the Nineteenth Century. Stanford: Stanford University Press.Google Scholar
  10. L. Meynell (2008). Why Feynman Diagrams Represent International Studies. Philosophy of Science 22(1): 39–59.MathSciNetCrossRefzbMATHGoogle Scholar
  11. M. Morgan & M. Morrison (eds.) (1999). Models as Mediators: Perspectives on Natural and Social Science. Cambridge: Cambridge University Press.Google Scholar
  12. M. Redhead (1988). A Philosopher Looks at Quantum Field Theory. In: Philosophical Foundations of Quantum Field Theory, H. R. Brown & R. Harré (eds.). Oxford: Clarendon Press, 9–23.Google Scholar
  13. S. S. Schweber (1994). QED and the Men Who Made It: Dyson, Feynman, Schwinger, and Tomonaga. Princeton: Princeton University Press.zbMATHGoogle Scholar
  14. M. Stöltzner (2014). Higgs Models and Other Stories About Mass Genera- tion. Journal for the General Philosophy of Science 45: 369–384.MathSciNetCrossRefGoogle Scholar
  15. R. Talbert (2011). Lines, Squiggly Lines, and Dots — ~ ~ ~ … The Feynman Diagramas a Model? Senior Thesis, South Carolina Honors College.Google Scholar
  16. M. B. Valente (2011). Are Virtual Quanta Nothing but Formal Tools? International Studies in the Philosophy of Science 25: 39–53.MathSciNetCrossRefGoogle Scholar
  17. A. Warwick (2003). Masters of Theory: Cambridge and the Rise of Mathematical Physics. Chicago: The University of Chicago Press.CrossRefzbMATHGoogle Scholar
  18. R. Weingard (1988). Virtual Particles and the Interpretation of Quantum Field Theory. In: Philosophical Foundations of Quantum Field Theory, H. R. Brown & R. Harré (eds.). Oxford: Clarendon Press, 43–58.Google Scholar
  19. A. Wüthrich (2010). The Genesis of Feynman Diagrams. Dordrecht: Springer.zbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Department of PhilosophyUniversity of South CarolinaColumbiaUSA

Personalised recommendations