ISSN:
1572-9613
Keywords:
Monte Carlo simulations
;
conformal charge
;
central charge
;
conformal invariance
;
continuous-spin Ising model
;
critical phenomena
;
parallel computers
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The conformal charge is an important quantity which characterizes the nature of the two-dimensional phase transition. We report a first attempt to use a new numerical method to calculate the conformal charge. In this paper, we apply our method to the 2-dimensional,φ 4, continuous-spin Ising model. By varying the parameters in the Hamiltonian, one can change continuously from the known Gaussian limit to the Ising limit. It is well known that the critical points for these two systems are not in the same universality class. We study this behavior for the Gaussian model, the single-well φ4 model, the border model, and the double-wellφ 4 model for a large lattice. Our results, while giving a good general picture, are not so far sufficient to differentiate whether the non-Gaussian cases studied belong to the Ising model universality class or not. Further studies of other lattice sizes should serve to improve greatly our conclusions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01058762
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