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On the local Borel transform of Perturbation Theory | Christoph Kopper
; | Date: |
14 Feb 2009 | Abstract: | We prove existence of the local Borel transform for the perturbative series
of massive $vp_4^4$-theory. As compared to previous proofs in the literature,
the present bounds are much sharper as regards the dependence on external
momenta, they are explicit in the number of external legs, and they are
obtained quite simply through a judiciously chosen induction hypothesis applied
to the Wegner-Wilson-Polchinski flow equations. We pay attention not to
generate an astronomically large numerical constant for the inverse radius of
convergence of the Borel transform. | Source: | arXiv, 0902.2483 | Services: | Forum | Review | PDF | Favorites |
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