Scaling theory and logarithmic singularities

It is shown that, within Kadanoff's scaling theory for the Ising model, the amplitudes of the singularities depend upon an analytic contribution to the free energy of the scaled model, which is the self-energy of the cells. In particular a logarithmic singularity of the specific heat occurs in...

Full description

Saved in:
Bibliographic Details
Published in:Physica 1974-01, Vol.77 (2), p.390-402
Main Authors: Nightingale, M.P., 'T Hooft, A.H.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:It is shown that, within Kadanoff's scaling theory for the Ising model, the amplitudes of the singularities depend upon an analytic contribution to the free energy of the scaled model, which is the self-energy of the cells. In particular a logarithmic singularity of the specific heat occurs in this theory only if the self-energy is nonzero. In Wilson's renormalisation group theory amplitudes furthermore depend upon the second-order contribution in ε to the renormalised temperature.
ISSN:0031-8914
DOI:10.1016/0031-8914(74)90269-9