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

Abstract

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 γ=1.604(6), β=0.425(2) and ν=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.

arXiv comment13 pages, 20 figures, REVTEX, fixed an error in the determination of R_χand changed the corresponding line in figure 13a

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Cited by in corpus (11)

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• Scaling and Goldstone effects in a QCD with two flavours of adjoint quarks
• Degrees of freedom and the phase transitions of two flavor QCD
• The critical equation of state of the three-dimensional O(N) universality class: N>4
• Equation of State for Spin Systems with Goldstone Bosons: the 3d O(4) Case
• Confinement, Chiral Symmetry and Hadrons
• Casimir effect in critical $\mathrm{O}(N)$ models from non-equilibrium Monte Carlo simulations
• The scaling equation of state of the three-dimensional O(N) universality class: N >= 4