Power-law singularities and critical exponents in n-vector models

Details Power-law singularities and critical exponents in n-vector models Power-law singularities and critical exponents in n-vector models

2011-03-04

arxiv.org/abs/1103.0888v1

Physics

Condensed Matter

Statistical Mechanics

17 pages, 2 figures

Scientific paper

Power-law singularities and critical exponents in n-vector models are considered from different theoretical points of view. It includes a theoretical approach called the GFD (grouping of Feynman diagrams) theory, as well as the perturbative renormalization group (RG) treatment. A non-perturbative proof concerning corrections to scaling in the two-point correlation function of the phi^4 model is provided, showing that predictions of the GFD theory rather than those of the perturbative RG theory can be correct. Critical exponents determined from highly accurate experimental data very close to the lambda-transition point in liquid helium, as well as the Goldstone mode singularities in n-vector spin models, evaluated from Monte Carlo simulation results, are discussed with an aim to test the theoretical predictions. Our analysis shows that in both cases the data can be well interpreted within the GFD theory.

Affiliated with

Also associated with

No associations

Rating

Power-law singularities and critical exponents in n-vector models 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 Power-law singularities and critical exponents in n-vector models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Power-law singularities and critical exponents in n-vector models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-321056