The Renormalization Group and its Finite Lattice Approximations

Details The Renormalization Group and its Finite Lattice Approximations The Renormalization Group and its Finite Lattice Approximations

1998-12-15

arxiv.org/abs/cond-mat/9812259v1

Journal of Statistical Physics, Vol 97, Nos. 3/4, 1999

Physics

Condensed Matter

Statistical Mechanics

LaTeX file, 38 pages, 21 eps figures, uses epsfig

Scientific paper

We investigate finite lattice approximations to the Wilson Renormalization Group in models of unconstrained spins. We discuss first the properties of the Renormalization Group Transformation (RGT) that control the accuracy of this type of approximations and explain different methods and techniques to practically identify them. We also discuss how to determine the anomalous dimension of the field. We apply our considerations to a linear sigma model in two dimensions in the domain of attraction of the Ising Fixed Point using a Bell-Wilson RGT. We are able to identify optimal RGTs which allow accurate computations of quantities such as critical exponents, fixed point couplings and eigenvectors with modest statistics. We finally discuss the advantages and limitations of this type of approach.

Affiliated with

Also associated with

No associations

Rating

The Renormalization Group and its Finite Lattice Approximations 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 The Renormalization Group and its Finite Lattice Approximations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Renormalization Group and its Finite Lattice Approximations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-121981