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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 108 (1987), S. 257-289 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We bound the large order behavior of these pieces of the renormalized perturbation expansion for ρ 4 4 which do not contain “renormalons” [1]. The bound we obtain has the form of the leading asymptotic behavior computed by the Lipatov method, with the exact value of the “Lipatov constant.” Therefore, this paper is a step towards the rigorous study of the large order behavior of Φ 4 4 and towards a proof of existence of the first “renormalon” singularity which should prevent the theory from being Borel summable. Using the results of this paper and the techniques of [15], one can for instance improve [17] the estimate [18] on the finiteness of the radius of convergence of the Borel transform of renormalized Φ 4 4 and obtain that this radius is at least the exact value conjectured in [1].
    Type of Medium: Electronic Resource
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