Universal amplitude ratios in finite-size scaling: three-dimensional Ising model

Abstract

Motivated by the results of two-dimensional conformal field theory (CFT) we investigate the finite-size scaling of the mass spectrum of an Ising model on three-dimensional lattices with a spherical cross section. Using a cluster-update Monte Carlo technique we find a linear relation between the masses and the corresponding scaling dimensions, in complete analogy to the situation in two dimensions. Amplitude ratios as well as the amplitudes themselves appear to be universal in this case.

3 pages, 2 figures, proceedings of LATTICE99, Pisa

References in corpus (2)

• Universal amplitudes in the FSS of three-dimensional spin models
• Numerical tests of conjectures of conformal field theory for three-dimensional systems

Cited by in corpus (1)

• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents