In perturbative quantum field theory, the n-point functions consist, in general, of an infinity of Feynman graphs. Traditionally, these are generated via functional methods. This book describes the relation between complete, connected, and 1-particle irreducible n-point functions directly at the level of the Hopf algebra of time-ordered field operators. The ensembles of time-ordered n-point functions are simply linear forms on this algebra. It is showed, for instance, that the complete and connected n-point functions are elegantly related through the convolution product (induced by the...
In perturbative quantum field theory, the n-point functions consist, in general, of an infinity of Feynman graphs. Traditionally, these are generated ...
