Two-dimensional phase transition models and λφ^4 field theory

Details Two-dimensional phase transition models and λφ^4 field theory Two-dimensional phase transition models and λφ^4 field theory

2007-06-24

arxiv.org/abs/0706.3494v1

J.Phys.Stud.10:351-357,2006

Physics

Condensed Matter

Statistical Mechanics

13 pages, 7 tables, to appear in J. Phys. Studies 10, No 4 (2006)

Scientific paper

The overview is given of the results obtained recently in the course of renormalization-group (RG) study of two-dimensional (2D) models. RG functions of the two-dimensional n-vector \lambda \phi^4 Euclidean field theory are written down up to the five-loop terms and perturbative series are resummed by the Pade-Borel-Leroy techniques. An account for the five-loop term is shown to shift the Wilson fixed point only briefly, leaving it outside the segment formed by the results of the lattice calculations. This is argued to reflect the influence of the non-analytical contribution to the \beta-function. The evaluation of the critical exponents for n = 1, n = 0 and n = -1 in the five-loop approximation and comparison of the results with known exact values confirm the conclusion that non-analytical contributions are visible in two dimensions. The estimates obtained on the base of pseudo-\epsilon expansions originating from the 5-loop 2D RG series are also discussed.

Affiliated with

Also associated with

No associations

Rating

Two-dimensional phase transition models and λφ^4 field theory 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 Two-dimensional phase transition models and λφ^4 field theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-dimensional phase transition models and λφ^4 field theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-704214