Accurate Checks of Universality for Dyson's Hierarchical Model

Details Accurate Checks of Universality for Dyson's Hierarchical Model Accurate Checks of Universality for Dyson's Hierarchical Model

1998-02-03

arxiv.org/abs/hep-lat/9802001v1

Phys.Rev.D57:6581-6584,1998

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, Revtex, 1 figure

Scientific paper

10.1103/PhysRevD.57.6581

Using recently developed methods, we perform high-accuracy calculations of the susceptibility near beta_c for the D=3 version of Dyson's hierarchical model. Using linear fits, we estimate the leading gamma and subleading Delta exponents. Independent estimates are obtained by calculating the first two eigenvalues of the linearized renormalization group transformation. We found gamma = 1.29914073 (with an estimated error of 10^{-8}) and, Delta=0.4259469 (with an estimated error of 10^{-7}) independently of the choice of local integration measure (Ising or Landau-Ginzburg). After a suitable rescaling, the approximate fixed points for a large class of local measure coincide accurately with a fixed point constructed by Koch and Wittwer.

Affiliated with

Also associated with

No associations

Rating

Accurate Checks of Universality for Dyson's Hierarchical Model 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 Accurate Checks of Universality for Dyson's Hierarchical Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Accurate Checks of Universality for Dyson's Hierarchical Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-91777