LARGE ENERGY CUMULANTS IN THE 2D POTTS-MODEL AND THEIR EFFECTS IN FINITE-SIZE ANALYSIS

被引：14

作者：

BHATTACHARYA, T

LACAZE, R

MOREL, A

机构：

[1] CE SACLAY, CEA, SERV PHYS THEOR, F-91191 GIF SUR YVETTE, FRANCE

[2] UNIV PARIS 11, ASCI, F-91405 ORSAY, FRANCE

来源：

NUCLEAR PHYSICS B | 1995年 / 435卷 / 03期

关键词：

D O I：

10.1016/0550-3213(94)00393-S

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We develop an ansatz for expressing the free energy of the two-dimensional q-states Potts model for q > 4 near its first order phase transition point. We notice that for the moderate values of q less than or similar to 15, the energy profile at the phase transition is not expressible as a sum of gaussians. We discuss how this affects the traditional finite size analysis of this phase transition. In particular, the dominant length scale governing the finite size corrections turns out to be much (similar to 6 times) larger than the largest correlation length in the problem.

引用

页码：526 / 554

页数：29

共 29 条

[1]

ACHARYA T, SPHT94066 PREPR

[2]

Baxter R. J., 1973, J STAT PHYS, V9, P145, DOI [10.1007/BF01016845, DOI 10.1007/BF01016845]

[3] POTTS MODEL AT CRITICAL-TEMPERATURE [J].