Critical behaviour and scaling functions of the three-dimensional O(6) model

Details Critical behaviour and scaling functions of the three-dimensional O(6) model Critical behaviour and scaling functions of the three-dimensional O(6) model

2003-05-23

arxiv.org/abs/hep-lat/0305019v3

Phys.Rev. E68 (2003) 036111

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, 20 figures, REVTEX, fixed an error in the determination of R_\chi and changed the corresponding line in figure 13a

Scientific paper

10.1103/PhysRevE.68.036111

We numerically investigate the three-dimensional O(6) model on 12^3 to 120^3 lattices within the critical region at zero magnetic field, as well as at finite magnetic field on the critical isotherm and for several fixed couplings in the broken and the symmetric phase. We obtain from the Binder cumulant at vanishing magnetic field the critical coupling J_c=1.42865(3). The universal value of the Binder cumulant at this point is g_r(J_c)=-1.94456(10). At the critical coupling, the critical exponents \gamma=1.604(6), \beta=0.425(2) and \nu=0.818(5) are determined from a finite-size-scaling analysis. Furthermore, we verify predicted effects induced by massless Goldstone modes in the broken phase. The results are well described by the perturbative form of the model's equation of state. Our O(6)-result is compared to the corresponding Ising, O(2) and O(4) scaling functions. Finally, we study the finite-size-scaling behaviour of the magnetisation on the pseudocritical line.

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