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A new approach to summation of divergent field-theoretical series issuggested. It is based on the Borel transformation combined with a conformalmapping and does not imply the exact asymptotic parameters to be known. Themethod is tested on functions expanded in their asymptotic power series. It isapplied to estimating the critical exponent values for an N-vector field model,describing magnetic and structural phase transitions in cubic and tetragonalcrystals, from five-loop \epsilon expansions.Comment: 9 pages, LaTeX, 3 PostScript figure

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

Modified Borel summation of divergent series and critical-exponent estimates for an<i>N</i>-vector cubic model in three dimensions from five-loop ε expansions

Modified Borel summation of divergent series and critical-exponent estimates for anN-vector cubic model in three dimensions from five-loop ε expansions