Feynman parametrization is a technique for evaluating loop integrals which arise from Feynman diagrams with one or more loops. However, it is sometimes useful in integration in areas of pure mathematics as well.
Richard Feynman observed that:
which simplifies evaluating integrals like:
More generally, using the Dirac delta function:
Even more generally, provided that for all :
See also Schwinger parametrization.
Now just linearly transform the integral using the substitution,
- which leads to so
and we get the desired result:
- Kristjan Kannike. "Notes on Feynman Parametrization and the Dirac Delta Function". Archived from the original on 2007-07-29. Retrieved 2011-07-24.
|This applied mathematics-related article is a stub. You can help Wikipedia by expanding it.|
|This quantum mechanics-related article is a stub. You can help Wikipedia by expanding it.|