New approach to Borel summation of divergent series and critical exponent estimates for an N-vector cubic model in three dimensions from five-loop εexpansions

Details New approach to Borel summation of divergent series and critical exponent estimates for an N-vector cubic model in three dimensions from five-loop εexpansions New approach to Borel summation of divergent series and critical exponent estimates for an N-vector cubic model in three dimensions from five-loop εexpansions

1998-05-07

arxiv.org/abs/cond-mat/9805081v1

Phys.Rev. E58 (1998) 5371-5375

Physics

Condensed Matter

Statistical Mechanics

9 pages, LaTeX, 3 PostScript figures

Scientific paper

10.1103/PhysRevE.58.5371

A 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 exact asymptotic parameters to be known. The method is tested on functions expanded in their asymptotic power series. It is applied to estimating the critical exponent values for an N-vector field model, describing magnetic and structural phase transitions in cubic and tetragonal crystals, from five-loop \epsilon expansions.

Affiliated with

Also associated with

No associations

Rating

New approach to Borel summation of divergent series and critical exponent estimates for an N-vector cubic model in three dimensions from five-loop εexpansions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with New approach to Borel summation of divergent series and critical exponent estimates for an N-vector cubic model in three dimensions from five-loop εexpansions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New approach to Borel summation of divergent series and critical exponent estimates for an N-vector cubic model in three dimensions from five-loop εexpansions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-136932