Author： Fiorenza Domenico
Publisher： Springer Publishing Company
ISSN： 0927-2852
Source： Applied Categorical Structures, Vol.14, Iss.4, 2006-08, pp. : 313-350
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
We show that sums over graphs such as appear in the theory of Feynman diagrams can be seen as integrals over discrete groupoids. From this point of view, basic combinatorial formulas of the theory of Feynman diagrams can be interpreted as pull-back or push-forward formulas for integrals over suitable groupoids.
Related content
Chern–Weil map for principal bundles over groupoids
Mathematische Zeitschrift, Vol. 255, Iss. 3, 2007-03 ,pp. :
Access to resources
Recommend
Sums of squares over the Fibonacci ○-ring
By Zhuravlev V.
Journal of Mathematical Sciences, Vol. 143, Iss. 3, 2007-06 ,pp. :
Character sums over shifted primes
Academy of Sciences of the USSR Mathematical Notes, Vol. 88, Iss. 3-4, 2010-10 ,pp. :
Exponential sums over primes and the prime twin problem
Acta Mathematica Hungarica, Vol. 131, Iss. 1-2, 2011-04 ,pp. :