Abstract
Lipatov's argument gives a formula for evaluating asymptotically the large order perturbation coefficients for the anharmonic oscillator or (φ4) quantum field models. We give a partial justification of the argument which enables us to prove that the radius of convergence of the Borel transform of the pressure for lattice φ4 models given by
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Communicated by K. Osterwalder
Alfred P. Sloan Fellow and supported in part by NSF Grant DMR-7904355
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Spencer, T. The Lipatov argument. Commun.Math. Phys. 74, 273–280 (1980). https://doi.org/10.1007/BF01952890
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DOI: https://doi.org/10.1007/BF01952890