Abstract
We show that when the β and γ functions in the Callan–Symanzik equation are calculated to a finite order in perturbation theory, the solution to the equation may be represented by an infinite series of Feynman diagrams obtained by repeated insertions of the lower order diagrams from which the β and γ functions are calculated. We demonstrate this assertion in two ways, by explicitly calculating these graphs in the leading logarithm approximation, and by proving that this set of diagrams satisfies exactly the Callan–Symanzik equation.
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