Scaling and Density of Lee-Yang Zeroes in the Four Dimensional Ising Model

Details Scaling and Density of Lee-Yang Zeroes in the Four Dimensional Ising Model Scaling and Density of Lee-Yang Zeroes in the Four Dimensional Ising Model

1993-11-20

arxiv.org/abs/hep-lat/9311029v1

Phys.Rev.E49:5012,1994

Physics

High Energy Physics

High Energy Physics - Lattice

17 pages (4 figures), LaTeX + POSTSCRIPT-file, preprint UNIGRAZ-UTP 20-11-93

Scientific paper

10.1103/PhysRevE.49.5012

The scaling behaviour of the edge of the Lee--Yang zeroes in the four dimensional Ising model is analyzed. This model is believed to belong to the same universality class as the $\phi^4_4$ model which plays a central role in relativistic quantum field theory. While in the thermodynamic limit the scaling of the Yang--Lee edge is not modified by multiplicative logarithmic corrections, such corrections are manifest in the corresponding finite--size formulae. The asymptotic form for the density of zeroes which recovers the scaling behaviour of the susceptibility and the specific heat in the thermodynamic limit is found to exhibit logarithmic corrections too. The density of zeroes for a finite--size system is examined both analytically and numerically.

Affiliated with

Also associated with

No associations

Rating

Scaling and Density of Lee-Yang Zeroes in the Four Dimensional Ising 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 Scaling and Density of Lee-Yang Zeroes in the Four Dimensional Ising Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scaling and Density of Lee-Yang Zeroes in the Four Dimensional Ising Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-456650