Critical behaviour and Scaling functions for the three-dimensional O(6) spin model with external field

Details Critical behaviour and Scaling functions for the three-dimensional O(6) spin model with external field Critical behaviour and Scaling functions for the three-dimensional O(6) spin model with external field

2003-01-16

arxiv.org/abs/hep-lat/0301016v1

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 4 figures, To appear in the proceedings of Workshop on Strong and Electroweak Matter (SEWM 2002), Heidelberg, Germany

Scientific paper

We numerically investigate the three-dimensional O(6) model on 12^3 to 120^3 lattices. From Binder's cumulant at vanishing magnetic field we obtain the critical coupling J_c=1.42865(5) and verify this value with the \chi^2-method. The universal value of Binder's cumulant at this point is g_r(J_c)=-1.94456(10). At the critical coupling we find the critical exponents \nu=0.818(5), \beta=0.425(2) and \gamma=1.604(6) from a finite size scaling analysis. We also determine the finite-size-scaling function on the critical line and the equation of state. Our O(6)-result for the equation of state is compared to the Ising, O(2) and O(4) results.

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