Why Are Renormalons Always In The Same Place ?

Details Why Are Renormalons Always In The Same Place ? Why Are Renormalons Always In The Same Place ?

1996-09-06

arxiv.org/abs/hep-ph/9609275v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, Latex

Scientific paper

In order that current and future renormalon results in QCD can be used to their full advantage it is important to understand how the Borel transforms of related functions are themselves related. For example, a change of renormalisation scheme can involve the inversion of a function; how is the transform of a function related to the transform of an inverse ? We outline a method of extracting the dominant behaviour of the Borel transform after the action of simple operations on the function.

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