New approach to summation of field-theoretical series in models with strong coupling

dc.creatorMudrov, A. I.
dc.creatorVarnashev, K. B.
dc.date1998-11-13
dc.date1998-11-25
dc.date.accessioned2026-07-07T04:25:34Z
dc.date.available2026-07-07T04:25:34Z
dc.descriptionA new approach to summation of divergent field-theoretical series is suggested. It is based on the Borel transformation combined with a conformal mapping and does not imply the knowledge of the exact asymptotic parameters. The method is tested on functions expanded in their asymptotic power series and applied to estimating the ground state energy of simple quantum mechanical problems including anisotropic oscillators and caclulating the critical exponents for certain comformal field models. It can be expected that the new approach to summation may be used to obtaining numerical estimates for important physical quantities represented by divergent series in two- and three-dimensional field models.
dc.description6 pages, LaTeX, 2 PostScript figures. Talk presented at XI-th Intern. Conf. "Problems of Quantum Field Theory"(July 13-17, Dubna, Russia, 1998), to appear in the Conference Proceedings 1999; the reference list extended
dc.identifierhttps://arxiv.org/abs/hep-th/9811125
dc.identifierhttp://arxiv.org/abs/hep-th/9811125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55794
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.titleNew approach to summation of field-theoretical series in models with strong coupling
dc.typetext

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